767872 has 32 divisors (see below), whose sum is σ = 1750320. Its totient is φ = 328704.

The previous prime is 767869. The next prime is 767881. The reversal of 767872 is 278767.

767872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 468 + ... + 1324.

2⁷⁶⁷⁸⁷² 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 767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875160).

767872 is an abundant number, since it is smaller than the sum of its proper divisors (982448).

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

767872 is an equidigital number, since it uses as much as digits as its factorization.

767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its digits is 32928, while the sum is 37.

The square root of 767872 is about 876.2830592908. The cubic root of 767872 is about 91.5720515027.

It can be divided in two parts, 7678 and 72, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 767872 in words is "seven hundred sixty-seven thousand, eight hundred seventy-two".