76272624896400 has 585 divisors, whose sum is σ = 275326942599121. Its totient is φ = 20305411102080.

The previous prime is 76272624896359. The next prime is 76272624896411. The reversal of 76272624896400 is 469842627267.

The square root of 76272624896400 is 8733420.

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

76272624896400 is a `hidden beast` number, since 7 + 62 + 72 + 6 + 24 + 89 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27458144962704 + 48814479933696 = 5240052^2 + 6986736^2 .

It is a super-2 number, since 2×76272624896400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 127333263301 + ... + 127333263899.

Almost surely, 2^{76272624896400} is an apocalyptic number.

76272624896400 is the 8733420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76272624896400

76272624896400 is an abundant number, since it is smaller than the sum of its proper divisors (199054317702721).

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

76272624896400 is an frugal number, since it uses more digits than its factorization.

76272624896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 76272624896400 in words is "seventy-six trillion, two hundred seventy-two billion, six hundred twenty-four million, eight hundred ninety-six thousand, four hundred".