807634072 has 96 divisors (see below), whose sum is σ = 1863872640. Its totient is φ = 326592000.

The previous prime is 807634057. The next prime is 807634081. The reversal of 807634072 is 270436708.

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, 497422 + ... + 499042.

It is an arithmetic number, because the mean of its divisors is an integer number (19415340).

Almost surely, 2^807634072 is an apocalyptic number.

807634072 is a gapful number since it is divisible by the number (82) 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 807634072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931936320).

807634072 is an abundant number, since it is smaller than the sum of its proper divisors (1056238568).

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

807634072 is a wasteful number, since it uses less digits than its factorization.

807634072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 807634072 is about 28418.9034271205. The cubic root of 807634072 is about 931.2612755297.

The spelling of 807634072 in words is "eight hundred seven million, six hundred thirty-four thousand, seventy-two".