80920353600 has 252 divisors, whose sum is σ = 304529201964. Its totient is φ = 20309360640.

The previous prime is 80920353599. The next prime is 80920353607. The reversal of 80920353600 is 635302908.

It can be written as a sum of positive squares in 6 ways, for example, as 3920763456 + 76999590144 = 62616^2 + 277488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80920353607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79522 + ... + 410078.

Almost surely, 2^80920353600 is an apocalyptic number.

80920353600 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 80920353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152264600982).

80920353600 is an abundant number, since it is smaller than the sum of its proper divisors (223608848364).

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

80920353600 is a wasteful number, since it uses less digits than its factorization.

80920353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330602 (or 330584 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 80920353600 in words is "eighty billion, nine hundred twenty million, three hundred fifty-three thousand, six hundred".