764960 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 261888.

The previous prime is 764947. The next prime is 764969. The reversal of 764960 is 69467.

764960 = T₄₆₄ + T₄₆₅ + ... + T₄₇₀.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (764969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁷⁶⁴⁹⁶⁰ is an apocalyptic number.

764960 is a gapful number since it is divisible by the number (70) 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 764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

764960 is an abundant number, since it is smaller than the sum of its proper divisors (1303456).

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

764960 is a wasteful number, since it uses less digits than its factorization.

764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 764960 is about 874.6199174499. The cubic root of 764960 is about 91.4561486752.

The spelling of 764960 in words is "seven hundred sixty-four thousand, nine hundred sixty".