76970880000 has 1320 divisors, whose sum is σ = 335191304448. Its totient is φ = 16625664000.

The previous prime is 76970879987. The next prime is 76970880043. The reversal of 76970880000 is 8807967.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 927359959 + ... + 927360041.

Almost surely, 2^76970880000 is an apocalyptic number.

76970880000 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 76970880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167595652224).

76970880000 is an abundant number, since it is smaller than the sum of its proper divisors (258220424448).

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

76970880000 is a wasteful number, since it uses less digits than its factorization.

76970880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 76970880000 in words is "seventy-six billion, nine hundred seventy million, eight hundred eighty thousand".