76667904000 has 896 divisors, whose sum is σ = 294422169600. Its totient is φ = 19670630400.

The previous prime is 76667903993. The next prime is 76667904023. The reversal of 76667904000 is 40976667.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299455971 + ... + 1299456029.

Almost surely, 2^76667904000 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 76667904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147211084800).

76667904000 is an abundant number, since it is smaller than the sum of its proper divisors (217754265600).

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

76667904000 is an equidigital number, since it uses as much as digits as its factorization.

76667904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 76667904000 in words is "seventy-six billion, six hundred sixty-seven million, nine hundred four thousand".