807226560 has 336 divisors, whose sum is σ = 3292912896. Its totient is φ = 184384512.

The previous prime is 807226493. The next prime is 807226583. The reversal of 807226560 is 65622708.

807226560 is a `hidden beast` number, since 8 + 0 + 72 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×807226560² = 1303229438338867200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543579 + ... + 545061.

It is an arithmetic number, because the mean of its divisors is an integer number (9800336).

Almost surely, 2^807226560 is an apocalyptic number.

807226560 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 807226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646456448).

807226560 is an abundant number, since it is smaller than the sum of its proper divisors (2485686336).

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

807226560 is a wasteful number, since it uses less digits than its factorization.

807226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 807226560 is about 28411.7327877059. The cubic root of 807226560 is about 931.1046187777.

The spelling of 807226560 in words is "eight hundred seven million, two hundred twenty-six thousand, five hundred sixty".