763876 has 27 divisors (see below), whose sum is σ = 1474851. Its totient is φ = 346104.

The previous prime is 763859. The next prime is 763879. The reversal of 763876 is 678367.

The square root of 763876 is 874.

It is a perfect power (a square), and thus also a powerful number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (763879) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33201 + ... + 33223.

763876 is a Friedman number, since it can be written as (867+7)^(6/3), using all its digits and the basic arithmetic operations.

2⁷⁶³⁸⁷⁶ is an apocalyptic number.

763876 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

763876 is the 874-th square number.

It is an amenable number.

763876 is a deficient number, since it is larger than the sum of its proper divisors (710975).

763876 is a wasteful number, since it uses less digits than its factorization.

763876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The cubic root of 763876 is about 91.4129284063.

The spelling of 763876 in words is "seven hundred sixty-three thousand, eight hundred seventy-six".