807104664 has 96 divisors (see below), whose sum is σ = 2238294240. Its totient is φ = 262656000.

The previous prime is 807104663. The next prime is 807104671. The reversal of 807104664 is 466401708.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807104663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662584 + ... + 663800.

It is an arithmetic number, because the mean of its divisors is an integer number (23315565).

Almost surely, 2^807104664 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 807104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119147120).

807104664 is an abundant number, since it is smaller than the sum of its proper divisors (1431189576).

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

807104664 is a wasteful number, since it uses less digits than its factorization.

807104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 807104664 is about 28409.5875366046. The cubic root of 807104664 is about 931.0577489778.

The spelling of 807104664 in words is "eight hundred seven million, one hundred four thousand, six hundred sixty-four".