76234964400 has 900 divisors, whose sum is σ = 328749643200. Its totient is φ = 16852147200.

The previous prime is 76234964329. The next prime is 76234964423. The reversal of 76234964400 is 446943267.

It is a happy number.

76234964400 is a `hidden beast` number, since 7 + 6 + 234 + 9 + 6 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 49214826 + ... + 49216374.

Almost surely, 2^76234964400 is an apocalyptic number.

76234964400 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 76234964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164374821600).

76234964400 is an abundant number, since it is smaller than the sum of its proper divisors (252514678800).

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

76234964400 is a wasteful number, since it uses less digits than its factorization.

76234964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 76234964400 in words is "seventy-six billion, two hundred thirty-four million, nine hundred sixty-four thousand, four hundred".