80957320900 has 81 divisors (see below), whose sum is σ = 180788844789. Its totient is φ = 31466741760.

The previous prime is 80957320859. The next prime is 80957320903. The reversal of 80957320900 is 902375908.

It is a happy number.

The square root of 80957320900 is 284530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24450325956 + 56506994944 = 156366^2 + 237712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80957320903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105275716 + ... + 105276484.

Almost surely, 2^80957320900 is an apocalyptic number.

80957320900 is the 284530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80957320900

80957320900 is an abundant number, since it is smaller than the sum of its proper divisors (99831523889).

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

80957320900 is an equidigital number, since it uses as much as digits as its factorization.

80957320900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 80957320900 in words is "eighty billion, nine hundred fifty-seven million, three hundred twenty thousand, nine hundred".