76076851200 has 1008 divisors, whose sum is σ = 309599380800. Its totient is φ = 16473784320.

The previous prime is 76076851187. The next prime is 76076851229. The reversal of 76076851200 is 215867067.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4004044791 + ... + 4004044809.

Almost surely, 2^76076851200 is an apocalyptic number.

76076851200 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 76076851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154799690400).

76076851200 is an abundant number, since it is smaller than the sum of its proper divisors (233522529600).

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

76076851200 is an equidigital number, since it uses as much as digits as its factorization.

76076851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

Multiplying 76076851200 by its sum of digits (42), we get a square (3195227750400 = 1787520²).

76076851200 divided by its sum of digits (42) gives a square (1811353600 = 42560²).

The spelling of 76076851200 in words is "seventy-six billion, seventy-six million, eight hundred fifty-one thousand, two hundred".