766296 has 48 divisors (see below), whose sum is σ = 2152800. Its totient is φ = 245952.

The previous prime is 766277. The next prime is 766301. The reversal of 766296 is 692667.

766296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 766296.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (44850).

2⁷⁶⁶²⁹⁶ 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 766296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076400).

766296 is an abundant number, since it is smaller than the sum of its proper divisors (1386504).

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

766296 is a wasteful number, since it uses less digits than its factorization.

766296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 766296 is about 875.3833445982. The cubic root of 766296 is about 91.5093603252.

The spelling of 766296 in words is "seven hundred sixty-six thousand, two hundred ninety-six".