80724900 has 72 divisors (see below), whose sum is σ = 239297184. Its totient is φ = 20998400.

The previous prime is 80724881. The next prime is 80724907. The reversal of 80724900 is 942708.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (80724907) 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, 9019 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (3323572).

Almost surely, 2^80724900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80724900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119648592).

80724900 is an abundant number, since it is smaller than the sum of its proper divisors (158572284).

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

80724900 is a wasteful number, since it uses less digits than its factorization.

80724900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 80724900 is about 8984.7036679014. The cubic root of 80724900 is about 432.1844848194.

The spelling of 80724900 in words is "eighty million, seven hundred twenty-four thousand, nine hundred".