765977 has 8 divisors (see below), whose sum is σ = 807240. Its totient is φ = 725760.

The previous prime is 765971. The next prime is 765983. The reversal of 765977 is 779567.

It is an interprime number because it is at equal distance from previous prime (765971) and next prime (765983).

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 755161 = 104^2 + 869^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 765977 - 2⁶ = 765913 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (765971) 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, 1553 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (100905).

765977 is a Friedman number, since it can be written as 9+7*7*(7+5^6), using all its digits and the basic arithmetic operations.

2⁷⁶⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

765977 is a deficient number, since it is larger than the sum of its proper divisors (41263).

765977 is a wasteful number, since it uses less digits than its factorization.

765977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its digits is 92610, while the sum is 41.

The square root of 765977 is about 875.2011197433. The cubic root of 765977 is about 91.4966604731.

The spelling of 765977 in words is "seven hundred sixty-five thousand, nine hundred seventy-seven".