80440800 has 216 divisors, whose sum is σ = 288840888. Its totient is φ = 19430400.

The previous prime is 80440757. The next prime is 80440823. The reversal of 80440800 is 804408.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290262 + ... + 290538.

Almost surely, 2^80440800 is an apocalyptic number.

80440800 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 80440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144420444).

80440800 is an abundant number, since it is smaller than the sum of its proper divisors (208400088).

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

80440800 is a wasteful number, since it uses less digits than its factorization.

80440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80440800 is about 8968.8795286814. The cubic root of 80440800 is about 431.6768845856.

Multiplying 80440800 by its reverse (804408), we get a square (64707223046400 = 8044080²).

80440800 divided by its reverse (804408) gives a square (100 = 10²).

The spelling of 80440800 in words is "eighty million, four hundred forty thousand, eight hundred".