772608 has 40 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 257024.

The previous prime is 772591. The next prime is 772619. The reversal of 772608 is 806277.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1285 + ... + 1787.

2⁷⁷²⁶⁰⁸ 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 772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

772608 is an abundant number, since it is smaller than the sum of its proper divisors (1289760).

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

772608 is an equidigital number, since it uses as much as digits as its factorization.

772608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 772608 is about 878.9812284685. The cubic root of 772608 is about 91.7599285907.

The spelling of 772608 in words is "seven hundred seventy-two thousand, six hundred eight".