807415680 has 256 divisors, whose sum is σ = 2822299200. Its totient is φ = 195428352.

The previous prime is 807415669. The next prime is 807415691. The reversal of 807415680 is 86514708.

It is an interprime number because it is at equal distance from previous prime (807415669) and next prime (807415691).

It is a super-4 number, since 4×807415680⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946134 + ... + 946986.

Almost surely, 2^807415680 is an apocalyptic number.

807415680 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 807415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411149600).

807415680 is an abundant number, since it is smaller than the sum of its proper divisors (2014883520).

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

807415680 is a wasteful number, since it uses less digits than its factorization.

807415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 807415680 is about 28415.0607952895. The cubic root of 807415680 is about 931.1773273019.

The spelling of 807415680 in words is "eight hundred seven million, four hundred fifteen thousand, six hundred eighty".