767952 has 30 divisors (see below), whose sum is σ = 2149602. Its totient is φ = 255936.

The previous prime is 767951. The next prime is 767957. The reversal of 767952 is 259767.

It can be written as a sum of positive squares in only one way, i.e., 767376 + 576 = 876^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2523 + ... + 2810.

2⁷⁶⁷⁹⁵² is an apocalyptic number.

767952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

767952 is an abundant number, since it is smaller than the sum of its proper divisors (1381650).

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

767952 is a wasteful number, since it uses less digits than its factorization.

767952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5338 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 767952 is about 876.3287054525. The cubic root of 767952 is about 91.5752315074.

The spelling of 767952 in words is "seven hundred sixty-seven thousand, nine hundred fifty-two".