76972953600 has 585 divisors, whose sum is σ = 292931644993. Its totient is φ = 19318702080.

The previous prime is 76972953581. The next prime is 76972953613. The reversal of 76972953600 is 635927967.

The square root of 76972953600 is 277440.

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

76972953600 is a `hidden beast` number, since 7 + 6 + 9 + 7 + 29 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 8387629056 + 68585324544 = 91584^2 + 261888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4527820792 + ... + 4527820808.

Almost surely, 2^76972953600 is an apocalyptic number.

76972953600 is the 277440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76972953600

76972953600 is an abundant number, since it is smaller than the sum of its proper divisors (215958691393).

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

76972953600 is an frugal number, since it uses more digits than its factorization.

76972953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 76972953600 in words is "seventy-six billion, nine hundred seventy-two million, nine hundred fifty-three thousand, six hundred".