80792377600 has 729 divisors, whose sum is σ = 246432274851. Its totient is φ = 26195558400.

The previous prime is 80792377597. The next prime is 80792377621. The reversal of 80792377600 is 677329708.

The square root of 80792377600 is 284240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1889814784 + 78902562816 = 43472^2 + 280896^2 .

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 80 ways as a sum of consecutive naturals, for example, 4252230391 + ... + 4252230409.

Almost surely, 2^80792377600 is an apocalyptic number.

80792377600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80792377600 is the 284240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80792377600

80792377600 is an abundant number, since it is smaller than the sum of its proper divisors (165639897251).

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

80792377600 is a wasteful number, since it uses less digits than its factorization.

80792377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

Multiplying 80792377600 by its sum of digits (49), we get a square (3958826502400 = 1989680²).

The spelling of 80792377600 in words is "eighty billion, seven hundred ninety-two million, three hundred seventy-seven thousand, six hundred".