76118198400 has 144 divisors (see below), whose sum is σ = 271607278410. Its totient is φ = 20298178560.

The previous prime is 76118198383. The next prime is 76118198477. The reversal of 76118198400 is 489181167.

It is a happy number.

76118198400 is a `hidden beast` number, since 7 + 61 + 181 + 9 + 8 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 60977388096 + 15140810304 = 246936^2 + 123048^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1292697 + ... + 1350296.

Almost surely, 2^76118198400 is an apocalyptic number.

It is an amenable number.

76118198400 is an abundant number, since it is smaller than the sum of its proper divisors (195489080010).

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

76118198400 is a wasteful number, since it uses less digits than its factorization.

76118198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643023 (or 2643003 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 76118198400 in words is "seventy-six billion, one hundred eighteen million, one hundred ninety-eight thousand, four hundred".