80568800 has 144 divisors (see below), whose sum is σ = 216986112. Its totient is φ = 29030400.

The previous prime is 80568791. The next prime is 80568809. The reversal of 80568800 is 886508.

It is an interprime number because it is at equal distance from previous prime (80568791) and next prime (80568809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80568809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634337 + ... + 634463.

It is an arithmetic number, because the mean of its divisors is an integer number (1506848).

Almost surely, 2^80568800 is an apocalyptic number.

80568800 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 80568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493056).

80568800 is an abundant number, since it is smaller than the sum of its proper divisors (136417312).

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

80568800 is a wasteful number, since it uses less digits than its factorization.

80568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 80568800 is about 8976.0124777097. The cubic root of 80568800 is about 431.9057293155.

The spelling of 80568800 in words is "eighty million, five hundred sixty-eight thousand, eight hundred".