807408072 has 48 divisors (see below), whose sum is σ = 2196579840. Its totient is φ = 267923808.

The previous prime is 807408071. The next prime is 807408079. The reversal of 807408072 is 270804708.

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

It is not an unprimeable number, because it can be changed into a prime (807408071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9088 + ... + 41199.

It is an arithmetic number, because the mean of its divisors is an integer number (45762080).

Almost surely, 2^807408072 is an apocalyptic number.

It is an amenable number.

807408072 is an abundant number, since it is smaller than the sum of its proper divisors (1389171768).

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

807408072 is a wasteful number, since it uses less digits than its factorization.

807408072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50522 (or 50515 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 807408072 is about 28414.9269223062. The cubic root of 807408072 is about 931.1744025716.

The spelling of 807408072 in words is "eight hundred seven million, four hundred eight thousand, seventy-two".