80443238400 has 1440 divisors, whose sum is σ = 362749907520. Its totient is φ = 17199267840.

The previous prime is 80443238399. The next prime is 80443238419. The reversal of 80443238400 is 483234408.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×80443238400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 493516719 + ... + 493516881.

It is an arithmetic number, because the mean of its divisors is an integer number (251909658).

Almost surely, 2^80443238400 is an apocalyptic number.

80443238400 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 80443238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181374953760).

80443238400 is an abundant number, since it is smaller than the sum of its proper divisors (282306669120).

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

80443238400 is a wasteful number, since it uses less digits than its factorization.

80443238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 80443238400 in words is "eighty billion, four hundred forty-three million, two hundred thirty-eight thousand, four hundred".