80268800 has 60 divisors (see below), whose sum is σ = 198903936. Its totient is φ = 32102400.

The previous prime is 80268767. The next prime is 80268803. The reversal of 80268800 is 886208.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80268803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9665 + ... + 15935.

Almost surely, 2^80268800 is an apocalyptic number.

80268800 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 80268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99451968).

80268800 is an abundant number, since it is smaller than the sum of its proper divisors (118635136).

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

80268800 is an equidigital number, since it uses as much as digits as its factorization.

80268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 80268800 is about 8959.2856858122. The cubic root of 80268800 is about 431.3689918791.

The spelling of 80268800 in words is "eighty million, two hundred sixty-eight thousand, eight hundred".