76885079040 has 1408 divisors, whose sum is σ = 353155645440. Its totient is φ = 15394406400.

The previous prime is 76885079023. The next prime is 76885079123. The reversal of 76885079040 is 4097058867.

76885079040 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 507 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×76885079040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329978764 + ... + 329978996.

Almost surely, 2^76885079040 is an apocalyptic number.

76885079040 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 76885079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176577822720).

76885079040 is an abundant number, since it is smaller than the sum of its proper divisors (276270566400).

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

76885079040 is a wasteful number, since it uses less digits than its factorization.

76885079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 76885079040 in words is "seventy-six billion, eight hundred eighty-five million, seventy-nine thousand, forty".