76607080000 has 280 divisors, whose sum is σ = 212101480800. Its totient is φ = 27202560000.

The previous prime is 76607079973. The next prime is 76607080027. The reversal of 76607080000 is 8070667.

It is an interprime number because it is at equal distance from previous prime (76607079973) and next prime (76607080027).

It is a super-2 number, since 2×76607080000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18917976 + ... + 18922024.

Almost surely, 2^76607080000 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 76607080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106050740400).

76607080000 is an abundant number, since it is smaller than the sum of its proper divisors (135494400800).

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

76607080000 is a wasteful number, since it uses less digits than its factorization.

76607080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 76607080000 in words is "seventy-six billion, six hundred seven million, eighty thousand".