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776400096375 = 355371360007
BaseRepresentation
bin10110100110001010000…
…11010100110001110111
32202020000122202102100000
423103011003110301313
5100210031411041000
61352401232322343
7110043626634201
oct13230503246167
92666018672300
10776400096375
1127a2a6682912
1210657a9a33b3
13582a2826767
1429813d17771
15152e14d3000
hexb4c50d4c77

776400096375 has 96 divisors (see below), whose sum is σ = 1471873987584. Its totient is φ = 408246804000.

The previous prime is 776400096343. The next prime is 776400096457. The reversal of 776400096375 is 573690004677.

776400096375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 776400096375 - 25 = 776400096343 is a prime.

It is a super-2 number, since 2×7764000963752 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1976622 + ... + 2336628.

It is an arithmetic number, because the mean of its divisors is an integer number (15332020704).

Almost surely, 2776400096375 is an apocalyptic number.

776400096375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

776400096375 is a deficient number, since it is larger than the sum of its proper divisors (695473891209).

776400096375 is an equidigital number, since it uses as much as digits as its factorization.

776400096375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360108 (or 360086 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 776400096375 in words is "seven hundred seventy-six billion, four hundred million, ninety-six thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 81 125 135 213 225 243 355 375 405 639 675 1065 1125 1215 1775 1917 2025 3195 3375 5325 5751 6075 8875 9585 10125 15975 17253 26625 28755 30375 47925 79875 86265 143775 239625 360007 431325 718875 1080021 1800035 2156625 3240063 5400105 9000175 9720189 16200315 25560497 27000525 29160567 45000875 48600945 76681491 81001575 87481701 127802485 135002625 145802835 230044473 243004725 383407455 405007875 437408505 639012425 690133419 729014175 1150222365 1215023625 1917037275 2070400257 2187042525 3195062125 3450667095 3645070875 5751111825 6211200771 9585186375 10352001285 10935212625 17253335475 28755559125 31056003855 51760006425 86266677375 155280019275 258800032125 776400096375