80464456800 has 864 divisors, whose sum is σ = 352329449472. Its totient is φ = 16826019840.

The previous prime is 80464456769. The next prime is 80464456817. The reversal of 80464456800 is 865446408.

80464456800 is a `hidden beast` number, since 8 + 0 + 46 + 44 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83209917 + ... + 83210883.

Almost surely, 2^80464456800 is an apocalyptic number.

80464456800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80464456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176164724736).

80464456800 is an abundant number, since it is smaller than the sum of its proper divisors (271864992672).

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

80464456800 is a wasteful number, since it uses less digits than its factorization.

80464456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 80464456800 in words is "eighty billion, four hundred sixty-four million, four hundred fifty-six thousand, eight hundred".