76054608400 has 45 divisors (see below), whose sum is σ = 182734448871. Its totient is φ = 30419637120.

The previous prime is 76054608373. The next prime is 76054608407. The reversal of 76054608400 is 480645067.

The square root of 76054608400 is 275780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15782394384 + 60272214016 = 125628^2 + 245504^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76054608407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5508706 + ... + 5522494.

Almost surely, 2^76054608400 is an apocalyptic number.

76054608400 is the 275780-th square number.

It is an amenable number.

76054608400 is an abundant number, since it is smaller than the sum of its proper divisors (106679840471).

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

76054608400 is an frugal number, since it uses more digits than its factorization.

76054608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27596 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 76054608400 in words is "seventy-six billion, fifty-four million, six hundred eight thousand, four hundred".