76980400 has 120 divisors (see below), whose sum is σ = 222644480. Its totient is φ = 24986880.

The previous prime is 76980391. The next prime is 76980439. The reversal of 76980400 is 408967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52477 + ... + 53923.

Almost surely, 2^76980400 is an apocalyptic number.

76980400 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 76980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111322240).

76980400 is an abundant number, since it is smaller than the sum of its proper divisors (145664080).

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

76980400 is a wasteful number, since it uses less digits than its factorization.

76980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 76980400 is about 8773.8475026638. The cubic root of 76980400 is about 425.3959861803.

The spelling of 76980400 in words is "seventy-six million, nine hundred eighty thousand, four hundred".