80472268800 has 1764 divisors, whose sum is σ = 379691949276. Its totient is φ = 16721510400.

The previous prime is 80472268769. The next prime is 80472268879. The reversal of 80472268800 is 886227408.

It is a happy number.

80472268800 is a `hidden beast` number, since 80 + 472 + 26 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 7315660795 + ... + 7315660805.

Almost surely, 2^80472268800 is an apocalyptic number.

80472268800 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 80472268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189845974638).

80472268800 is an abundant number, since it is smaller than the sum of its proper divisors (299219680476).

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

80472268800 is an equidigital number, since it uses as much as digits as its factorization.

80472268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 80472268800 in words is "eighty billion, four hundred seventy-two million, two hundred sixty-eight thousand, eight hundred".