763920 has 60 divisors (see below), whose sum is σ = 2567916. Its totient is φ = 203520.

The previous prime is 763913. The next prime is 763921. The reversal of 763920 is 29367.

763920 is a `hidden beast` number, since 7 + 639 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 374544 = 624^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (763921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 1250.

2⁷⁶³⁹²⁰ 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 763920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283958).

763920 is an abundant number, since it is smaller than the sum of its proper divisors (1803996).

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

763920 is a wasteful number, since it uses less digits than its factorization.

763920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 763920 is about 874.0251712622. The cubic root of 763920 is about 91.4146835304.

The spelling of 763920 in words is "seven hundred sixty-three thousand, nine hundred twenty".