80207879400 has 384 divisors, whose sum is σ = 302123520000. Its totient is φ = 19396857600.

The previous prime is 80207879393. The next prime is 80207879417. The reversal of 80207879400 is 497870208.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28451191 + ... + 28454009.

It is an arithmetic number, because the mean of its divisors is an integer number (786780000).

Almost surely, 2^80207879400 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 80207879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760000).

80207879400 is an abundant number, since it is smaller than the sum of its proper divisors (221915640600).

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

80207879400 is a wasteful number, since it uses less digits than its factorization.

80207879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 80207879400 in words is "eighty billion, two hundred seven million, eight hundred seventy-nine thousand, four hundred".