80610566400 has 1215 divisors, whose sum is σ = 363191058321. Its totient is φ = 17007943680.

The previous prime is 80610566371. The next prime is 80610566401. The reversal of 80610566400 is 466501608.

The square root of 80610566400 is 283920.

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

80610566400 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 0 + 5 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 79091437824 + 1519128576 = 281232^2 + 38976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80610566401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6200812794 + ... + 6200812806.

Almost surely, 2^80610566400 is an apocalyptic number.

80610566400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80610566400 is the 283920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80610566400

80610566400 is an abundant number, since it is smaller than the sum of its proper divisors (282580491921).

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

80610566400 is an equidigital number, since it uses as much as digits as its factorization.

80610566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 80610566400 by its sum of digits (36), we get a square (2901980390400 = 1703520²).

80610566400 divided by its sum of digits (36) gives a square (2239182400 = 47320²).

The spelling of 80610566400 in words is "eighty billion, six hundred ten million, five hundred sixty-six thousand, four hundred".