76986400 has 36 divisors (see below), whose sum is σ = 187945002. Its totient is φ = 30794240.

The previous prime is 76986389. The next prime is 76986407. The reversal of 76986400 is 468967.

It can be written as a sum of positive squares in 3 ways, for example, as 71842576 + 5143824 = 8476^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (76986407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47317 + ... + 48916.

Almost surely, 2^76986400 is an apocalyptic number.

It is an amenable number.

76986400 is an abundant number, since it is smaller than the sum of its proper divisors (110958602).

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

76986400 is a wasteful number, since it uses less digits than its factorization.

76986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96253 (or 96240 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 76986400 is about 8774.1894212514. The cubic root of 76986400 is about 425.4070379528.

The spelling of 76986400 in words is "seventy-six million, nine hundred eighty-six thousand, four hundred".