80813600 has 72 divisors (see below), whose sum is σ = 225485568. Its totient is φ = 27705600.

The previous prime is 80813561. The next prime is 80813609. The reversal of 80813600 is 631808.

80813600 = T₄₉₇ + T₄₉₈ + ... + T₈₄₆.

It is a self number, because there is not a number n which added to its sum of digits gives 80813600.

It is not an unprimeable number, because it can be changed into a prime (80813609) 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, 1616 + ... + 12815.

It is an arithmetic number, because the mean of its divisors is an integer number (3131744).

Almost surely, 2^80813600 is an apocalyptic number.

80813600 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 80813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742784).

80813600 is an abundant number, since it is smaller than the sum of its proper divisors (144671968).

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

80813600 is a wasteful number, since it uses less digits than its factorization.

80813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14458 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 80813600 is about 8989.6384799390. The cubic root of 80813600 is about 432.3427207198.

The spelling of 80813600 in words is "eighty million, eight hundred thirteen thousand, six hundred".