80737692800 has 72 divisors (see below), whose sum is σ = 199487046465. Its totient is φ = 32288647680.

The previous prime is 80737692767. The next prime is 80737692811. The reversal of 80737692800 is 829673708.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 79122938944 + 1614753856 = 281288^2 + 40184^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=200920.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16071089 + ... + 16076111.

Almost surely, 2^80737692800 is an apocalyptic number.

80737692800 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 80737692800

80737692800 is an abundant number, since it is smaller than the sum of its proper divisors (118749353665).

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

80737692800 is an frugal number, since it uses more digits than its factorization.

80737692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

Multiplying 80737692800 by its sum of digits (50), we get a square (4036884640000 = 2009200²).

80737692800 divided by its sum of digits (50) gives a square (1614753856 = 40184²).

The spelling of 80737692800 in words is "eighty billion, seven hundred thirty-seven million, six hundred ninety-two thousand, eight hundred".