80400602500 has 135 divisors (see below), whose sum is σ = 180890406697. Its totient is φ = 31258552000.

The previous prime is 80400602497. The next prime is 80400602507. The reversal of 80400602500 is 520600408.

The square root of 80400602500 is 283550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 44613043524 + 35787558976 = 211218^2 + 189176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80400602507) 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 44 ways as a sum of consecutive naturals, for example, 751407447 + ... + 751407553.

Almost surely, 2^80400602500 is an apocalyptic number.

80400602500 is the 283550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80400602500

80400602500 is an abundant number, since it is smaller than the sum of its proper divisors (100489804197).

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

80400602500 is an equidigital number, since it uses as much as digits as its factorization.

80400602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 80400602500 by its sum of digits (25), we get a square (2010015062500 = 1417750²).

80400602500 divided by its sum of digits (25) gives a square (3216024100 = 56710²).

The spelling of 80400602500 in words is "eighty billion, four hundred million, six hundred two thousand, five hundred".