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780923025 = 31052232
BaseRepresentation
bin101110100010111…
…111000010010001
32000102110000000000
4232202333002101
53044404014100
6205253520213
725231510341
oct5642770221
92012400000
10780923025
113708a1033
12199643069
13c5a3393c
1475a00d21
1548859900
hex2e8bf091

780923025 has 99 divisors (see below), whose sum is σ = 1518406939. Its totient is φ = 398383920.

The previous prime is 780922993. The next prime is 780923051. The reversal of 780923025 is 520329087.

It is a happy number.

The square root of 780923025 is 27945.

It is a perfect power (a square), and thus also a powerful number.

780923025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 281132289 + 499790736 = 16767^2 + 22356^2 .

It is not a de Polignac number, because 780923025 - 25 = 780922993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 33953164 + ... + 33953186.

Almost surely, 2780923025 is an apocalyptic number.

780923025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

780923025 is the 27945-th square number.

780923025 is the 13973-rd centered octagonal number.

It is an amenable number.

780923025 is a deficient number, since it is larger than the sum of its proper divisors (737483914).

780923025 is an frugal number, since it uses more digits than its factorization.

780923025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 780923025 is about 920.8793675359.

Multiplying 780923025 by its sum of digits (36), we get a square (28113228900 = 1676702).

The spelling of 780923025 in words is "seven hundred eighty million, nine hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 243 345 405 529 575 621 675 729 1035 1215 1587 1725 1863 2025 2187 2645 3105 3645 4761 5175 5589 6075 6561 7935 9315 10935 13225 14283 15525 16767 18225 19683 23805 27945 32805 39675 42849 46575 50301 54675 59049 71415 83835 98415 119025 128547 139725 150903 164025 214245 251505 295245 357075 385641 419175 452709 492075 642735 754515 1071225 1156923 1257525 1358127 1476225 1928205 2263545 3213675 3470769 3772575 5784615 6790635 9641025 10412307 11317725 17353845 28923075 31236921 33953175 52061535 86769225 156184605 260307675 780923025