807149160 has 96 divisors (see below), whose sum is σ = 2637053640. Its totient is φ = 214106112.

The previous prime is 807149159. The next prime is 807149179. The reversal of 807149160 is 61941708.

It can be written as a sum of positive squares in 4 ways, for example, as 489382884 + 317766276 = 22122^2 + 17826^2 .

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

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, 63672 + ... + 75288.

Almost surely, 2^807149160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807149160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318526820).

807149160 is an abundant number, since it is smaller than the sum of its proper divisors (1829904480).

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

807149160 is a wasteful number, since it uses less digits than its factorization.

807149160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 807149160 is about 28410.3706417217. The cubic root of 807149160 is about 931.0748585243.

The spelling of 807149160 in words is "eight hundred seven million, one hundred forty-nine thousand, one hundred sixty".