760864 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 334080.

The previous prime is 760847. The next prime is 760871. The reversal of 760864 is 468067.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

760864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12867 + ... + 12925.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁷⁶⁰⁸⁶⁴ 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 760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

760864 is an abundant number, since it is smaller than the sum of its proper divisors (932576).

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

760864 is a wasteful number, since it uses less digits than its factorization.

760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

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

The square root of 760864 is about 872.2751859362. The cubic root of 760864 is about 91.2926216102.

The spelling of 760864 in words is "seven hundred sixty thousand, eight hundred sixty-four".