76814400 has 168 divisors, whose sum is σ = 271621504. Its totient is φ = 18892800.

The previous prime is 76814399. The next prime is 76814429. The reversal of 76814400 is 441867.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61785 + ... + 63015.

Almost surely, 2^76814400 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 76814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135810752).

76814400 is an abundant number, since it is smaller than the sum of its proper divisors (194807104).

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

76814400 is a wasteful number, since it uses less digits than its factorization.

76814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 76814400 is about 8764.3824654108. The cubic root of 76814400 is about 425.0899924770.

The spelling of 76814400 in words is "seventy-six million, eight hundred fourteen thousand, four hundred".