807980832560 has 80 divisors (see below), whose sum is σ = 2096992212480. Its totient is φ = 286978379520.

The previous prime is 807980832553. The next prime is 807980832583. The reversal of 807980832560 is 65238089708.

807980832560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 807980832496 and 807980832505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10638440 + ... + 10714119.

It is an arithmetic number, because the mean of its divisors is an integer number (26212402656).

Almost surely, 2^807980832560 is an apocalyptic number.

807980832560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807980832560 is an abundant number, since it is smaller than the sum of its proper divisors (1289011379920).

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

807980832560 is a wasteful number, since it uses less digits than its factorization.

807980832560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352626 (or 21352620 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 807980832560 in words is "eight hundred seven billion, nine hundred eighty million, eight hundred thirty-two thousand, five hundred sixty".