80038400 has 180 divisors, whose sum is σ = 220532202. Its totient is φ = 28753920.

The previous prime is 80038349. The next prime is 80038403. The reversal of 80038400 is 483008.

It can be written as a sum of positive squares in 9 ways, for example, as 614656 + 79423744 = 784^2 + 8912^2 .

It is a super-2 number, since 2×80038400² = 12812290949120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80038403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2163182 + ... + 2163218.

Almost surely, 2^80038400 is an apocalyptic number.

80038400 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 80038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110266101).

80038400 is an abundant number, since it is smaller than the sum of its proper divisors (140493802).

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

80038400 is a wasteful number, since it uses less digits than its factorization.

80038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 80038400 is about 8946.4182777243. The cubic root of 80038400 is about 430.9558688887.

The spelling of 80038400 in words is "eighty million, thirty-eight thousand, four hundred".