769007900640 has 192 divisors, whose sum is σ = 2790228639744. Its totient is φ = 174389096448.

The previous prime is 769007900543. The next prime is 769007900641. The reversal of 769007900640 is 46009700967.

It is a super-2 number, since 2×769007900640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 769007900640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769007900641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474349 + ... + 1327788.

It is an arithmetic number, because the mean of its divisors is an integer number (14532440832).

Almost surely, 2^769007900640 is an apocalyptic number.

769007900640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

769007900640 is an abundant number, since it is smaller than the sum of its proper divisors (2021220739104).

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

769007900640 is a wasteful number, since it uses less digits than its factorization.

769007900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802289 (or 1802281 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 769007900640 in words is "seven hundred sixty-nine billion, seven million, nine hundred thousand, six hundred forty".