811972800 has 252 divisors, whose sum is σ = 2917317000. Its totient is φ = 214179840.

The previous prime is 811972789. The next prime is 811972829. The reversal of 811972800 is 8279118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1626951 + ... + 1627449.

Almost surely, 2^811972800 is an apocalyptic number.

811972800 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 811972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458658500).

811972800 is an abundant number, since it is smaller than the sum of its proper divisors (2105344200).

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

811972800 is a wasteful number, since it uses less digits than its factorization.

811972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 811972800 is about 28495.1364271168. The cubic root of 811972800 is about 932.9259219591.

The spelling of 811972800 in words is "eight hundred eleven million, nine hundred seventy-two thousand, eight hundred".