76410734400 has 3360 divisors, whose sum is σ = 409760440320. Its totient is φ = 13436928000.

The previous prime is 76410734399. The next prime is 76410734423. The reversal of 76410734400 is 443701467.

It is a happy number.

76410734400 is a `hidden beast` number, since 7 + 641 + 0 + 7 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2464862385 + ... + 2464862415.

It is an arithmetic number, because the mean of its divisors is an integer number (121952512).

Almost surely, 2^76410734400 is an apocalyptic number.

76410734400 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 76410734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204880220160).

76410734400 is an abundant number, since it is smaller than the sum of its proper divisors (333349705920).

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

76410734400 is a wasteful number, since it uses less digits than its factorization.

76410734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 76410734400 in words is "seventy-six billion, four hundred ten million, seven hundred thirty-four thousand, four hundred".