80772635840 has 448 divisors, whose sum is σ = 235959091200. Its totient is φ = 26005929984.

The previous prime is 80772635833. The next prime is 80772635861. The reversal of 80772635840 is 4853627708.

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 63 ways as a sum of consecutive naturals, for example, 63152321 + ... + 63153599.

It is an arithmetic number, because the mean of its divisors is an integer number (526694400).

Almost surely, 2^80772635840 is an apocalyptic number.

80772635840 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 80772635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117979545600).

80772635840 is an abundant number, since it is smaller than the sum of its proper divisors (155186455360).

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

80772635840 is a wasteful number, since it uses less digits than its factorization.

80772635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 80772635840 in words is "eighty billion, seven hundred seventy-two million, six hundred thirty-five thousand, eight hundred forty".