762864 has 40 divisors (see below), whose sum is σ = 2059392. Its totient is φ = 242880.

The previous prime is 762847. The next prime is 762871. The reversal of 762864 is 468267.

762864 = 171² + 172² + ... + 193².

It is a super-2 number, since 2×762864² = 1163922964992, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 762864.

It is an unprimeable number.

762864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 1449.

2⁷⁶²⁸⁶⁴ 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 762864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029696).

762864 is an abundant number, since it is smaller than the sum of its proper divisors (1296528).

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

762864 is a wasteful number, since it uses less digits than its factorization.

762864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 762864 is about 873.4208607539. The cubic root of 762864 is about 91.3725419358.

The spelling of 762864 in words is "seven hundred sixty-two thousand, eight hundred sixty-four".