762880 has 44 divisors (see below), whose sum is σ = 1842300. Its totient is φ = 303104.

The previous prime is 762877. The next prime is 762893. The reversal of 762880 is 88267.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 589824 = 416^2 + 768^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5046 + ... + 5194.

2⁷⁶²⁸⁸⁰ 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 762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921150).

762880 is an abundant number, since it is smaller than the sum of its proper divisors (1079420).

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

762880 is a wasteful number, since it uses less digits than its factorization.

762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 762880 is about 873.4300200932. The cubic root of 762880 is about 91.3731807348.

The spelling of 762880 in words is "seven hundred sixty-two thousand, eight hundred eighty".