80297632800 has 2160 divisors, whose sum is σ = 394396944480. Its totient is φ = 15807052800.

The previous prime is 80297632769. The next prime is 80297632859. The reversal of 80297632800 is 823679208.

80297632800 is a `hidden beast` number, since 8 + 0 + 2 + 9 + 7 + 632 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 4226191191 + ... + 4226191209.

It is an arithmetic number, because the mean of its divisors is an integer number (182591178).

Almost surely, 2^80297632800 is an apocalyptic number.

80297632800 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 80297632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197198472240).

80297632800 is an abundant number, since it is smaller than the sum of its proper divisors (314099311680).

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

80297632800 is a wasteful number, since it uses less digits than its factorization.

80297632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80297632800 in words is "eighty billion, two hundred ninety-seven million, six hundred thirty-two thousand, eight hundred".