80332800 has 144 divisors (see below), whose sum is σ = 266076720. Its totient is φ = 21381120.

The previous prime is 80332793. The next prime is 80332829. The reversal of 80332800 is 823308.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153339 + ... + 153861.

It is an arithmetic number, because the mean of its divisors is an integer number (1847755).

Almost surely, 2^80332800 is an apocalyptic number.

80332800 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 80332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133038360).

80332800 is an abundant number, since it is smaller than the sum of its proper divisors (185743920).

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

80332800 is a wasteful number, since it uses less digits than its factorization.

80332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 80332800 is about 8962.8566874630. The cubic root of 80332800 is about 431.4836079414.

The spelling of 80332800 in words is "eighty million, three hundred thirty-two thousand, eight hundred".