80915200 has 108 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 31559680.

The previous prime is 80915183. The next prime is 80915203. The reversal of 80915200 is 251908.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (80915203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300666 + ... + 300934.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^80915200 is an apocalyptic number.

80915200 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 80915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649680).

80915200 is an abundant number, since it is smaller than the sum of its proper divisors (124384160).

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

80915200 is a wasteful number, since it uses less digits than its factorization.

80915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 80915200 is about 8995.2876552115. The cubic root of 80915200 is about 432.5238273039.

The spelling of 80915200 in words is "eighty million, nine hundred fifteen thousand, two hundred".