807664 has 40 divisors (see below), whose sum is σ = 1843632. Its totient is φ = 337920.

The previous prime is 807647. The next prime is 807689. The reversal of 807664 is 466708.

It is a super-2 number, since 2×807664² = 1304642273792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112 + ... + 2464.

2⁸⁰⁷⁶⁶⁴ 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 807664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921816).

807664 is an abundant number, since it is smaller than the sum of its proper divisors (1035968).

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

807664 is a wasteful number, since it uses less digits than its factorization.

807664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 807664 is about 898.7012851888. The cubic root of 807664 is about 93.1272778447.

It can be divided in two parts, 80 and 7664, that added together give a square (7744 = 88²).

The spelling of 807664 in words is "eight hundred seven thousand, six hundred sixty-four".