80785972800 has 1008 divisors, whose sum is σ = 334306103040. Its totient is φ = 18336890880.

The previous prime is 80785972727. The next prime is 80785972831. The reversal of 80785972800 is 827958708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124862077 + ... + 124862723.

It is an arithmetic number, because the mean of its divisors is an integer number (331652880).

Almost surely, 2^80785972800 is an apocalyptic number.

80785972800 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 80785972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167153051520).

80785972800 is an abundant number, since it is smaller than the sum of its proper divisors (253520130240).

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

80785972800 is a wasteful number, since it uses less digits than its factorization.

80785972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 80785972800 in words is "eighty billion, seven hundred eighty-five million, nine hundred seventy-two thousand, eight hundred".