807251040 has 144 divisors (see below), whose sum is σ = 2819024208. Its totient is φ = 210244608.

The previous prime is 807250999. The next prime is 807251077. The reversal of 807251040 is 40152708.

807251040 is a `hidden beast` number, since 80 + 72 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 807250995 and 807251013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55402 + ... + 68438.

It is an arithmetic number, because the mean of its divisors is an integer number (19576557).

Almost surely, 2^807251040 is an apocalyptic number.

807251040 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 807251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409512104).

807251040 is an abundant number, since it is smaller than the sum of its proper divisors (2011773168).

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

807251040 is a wasteful number, since it uses less digits than its factorization.

807251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 807251040 is about 28412.1635923771. The cubic root of 807251040 is about 931.1140309270.

The spelling of 807251040 in words is "eight hundred seven million, two hundred fifty-one thousand, forty".