80640400 has 45 divisors (see below), whose sum is σ = 194171011. Its totient is φ = 32184320.

The previous prime is 80640397. The next prime is 80640403. The reversal of 80640400 is 404608.

The square root of 80640400 is 8980.

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

It is an interprime number because it is at equal distance from previous prime (80640397) and next prime (80640403).

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 80568576 = 268^2 + 8976^2 .

It is a super-2 number, since 2×80640400² = 13005748224320000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80640403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179376 + ... + 179824.

Almost surely, 2^80640400 is an apocalyptic number.

80640400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80640400 is the 8980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80640400

80640400 is an abundant number, since it is smaller than the sum of its proper divisors (113530611).

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

80640400 is an equidigital number, since it uses as much as digits as its factorization.

80640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 80640400 is about 432.0336336411.

The spelling of 80640400 in words is "eighty million, six hundred forty thousand, four hundred".