76900982400 has 1152 divisors, whose sum is σ = 322303924800. Its totient is φ = 17252352000.

The previous prime is 76900982399. The next prime is 76900982407. The reversal of 76900982400 is 428900967.

It is a happy number.

76900982400 is a `hidden beast` number, since 76 + 90 + 0 + 98 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×76900982400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76900982407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 587030335 + ... + 587030465.

Almost surely, 2^76900982400 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 76900982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161151962400).

76900982400 is an abundant number, since it is smaller than the sum of its proper divisors (245402942400).

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

76900982400 is a wasteful number, since it uses less digits than its factorization.

76900982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 76900982400 in words is "seventy-six billion, nine hundred million, nine hundred eighty-two thousand, four hundred".