80584768400 has 120 divisors (see below), whose sum is σ = 203947571520. Its totient is φ = 30514475520.

The previous prime is 80584768391. The next prime is 80584768403. The reversal of 80584768400 is 486748508.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (80584768403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12863669 + ... + 12869931.

It is an arithmetic number, because the mean of its divisors is an integer number (1699563096).

Almost surely, 2^80584768400 is an apocalyptic number.

80584768400 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 80584768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101973785760).

80584768400 is an abundant number, since it is smaller than the sum of its proper divisors (123362803120).

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

80584768400 is a wasteful number, since it uses less digits than its factorization.

80584768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 80584768400 in words is "eighty billion, five hundred eighty-four million, seven hundred sixty-eight thousand, four hundred".