769057873920 has 896 divisors, whose sum is σ = 3202407290880. Its totient is φ = 171426447360.

The previous prime is 769057873901. The next prime is 769057873931. The reversal of 769057873920 is 29378750967.

769057873920 is a `hidden beast` number, since 7 + 6 + 9 + 0 + 578 + 7 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317397829 + ... + 317400251.

It is an arithmetic number, because the mean of its divisors is an integer number (3574115280).

Almost surely, 2^769057873920 is an apocalyptic number.

769057873920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769057873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601203645440).

769057873920 is an abundant number, since it is smaller than the sum of its proper divisors (2433349416960).

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

769057873920 is a wasteful number, since it uses less digits than its factorization.

769057873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 769057873920 in words is "seven hundred sixty-nine billion, fifty-seven million, eight hundred seventy-three thousand, nine hundred twenty".