76982214400 has 648 divisors, whose sum is σ = 249383975904. Its totient is φ = 23275929600.

The previous prime is 76982214391. The next prime is 76982214403. The reversal of 76982214400 is 441228967.

It is a super-2 number, since 2×76982214400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76982214403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93765990 + ... + 93766810.

Almost surely, 2^76982214400 is an apocalyptic number.

76982214400 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 76982214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124691987952).

76982214400 is an abundant number, since it is smaller than the sum of its proper divisors (172401761504).

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

76982214400 is a wasteful number, since it uses less digits than its factorization.

76982214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 76982214400 in words is "seventy-six billion, nine hundred eighty-two million, two hundred fourteen thousand, four hundred".