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770040 = 233352331
BaseRepresentation
bin10111011111111111000
31110010022000
42323333320
5144120130
624301000
76355005
oct2737770
91403260
10770040
114865a7
12311760
1320c65b
141608ac
15103260
hexbbff8

770040 has 128 divisors (see below), whose sum is σ = 2764800. Its totient is φ = 190080.

The previous prime is 770039. The next prime is 770041. The reversal of 770040 is 40077.

It is an interprime number because it is at equal distance from previous prime (770039) and next prime (770041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 769995 and 770022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24825 + ... + 24855.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2770040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382400).

770040 is an abundant number, since it is smaller than the sum of its proper divisors (1994760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

770040 is a wasteful number, since it uses less digits than its factorization.

770040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 770040 is about 877.5192305585. The cubic root of 770040 is about 91.6581516425.

The spelling of 770040 in words is "seven hundred seventy thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 31 36 40 45 46 54 60 62 69 72 90 92 93 108 115 120 124 135 138 155 180 184 186 207 216 230 248 270 276 279 310 345 360 372 414 460 465 540 552 558 620 621 690 713 744 828 837 920 930 1035 1080 1116 1240 1242 1380 1395 1426 1656 1674 1860 2070 2139 2232 2484 2760 2790 2852 3105 3348 3565 3720 4140 4185 4278 4968 5580 5704 6210 6417 6696 7130 8280 8370 8556 10695 11160 12420 12834 14260 16740 17112 19251 21390 24840 25668 28520 32085 33480 38502 42780 51336 64170 77004 85560 96255 128340 154008 192510 256680 385020 770040