761920 has 28 divisors (see below), whose sum is σ = 1815084. Its totient is φ = 304640.

The previous prime is 761897. The next prime is 761927. The reversal of 761920 is 29167.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 678976 = 288^2 + 824^2 .

It is not an unprimeable number, because it can be changed into a prime (761927) by changing a digit.

761920 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 3 ways as a sum of consecutive naturals, for example, 871 + ... + 1510.

2⁷⁶¹⁹²⁰ is an apocalyptic number.

It is an amenable number.

761920 is an abundant number, since it is smaller than the sum of its proper divisors (1053164).

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

761920 is a wasteful number, since it uses less digits than its factorization.

761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 761920 is about 872.8802896159. The cubic root of 761920 is about 91.3348369701.

It can be divided in two parts, 761 and 920, that added together give a square (1681 = 41²).

The spelling of 761920 in words is "seven hundred sixty-one thousand, nine hundred twenty".