772749 has 12 divisors (see below), whose sum is σ = 1175200. Its totient is φ = 487944.

The previous prime is 772721. The next prime is 772757. The reversal of 772749 is 947277.

It is not a de Polignac number, because 772749 - 2⁸ = 772493 is a prime.

It is a Duffinian number.

It is a Curzon number.

772749 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2089 + ... + 2430.

2⁷⁷²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

772749 is a deficient number, since it is larger than the sum of its proper divisors (402451).

772749 is a wasteful number, since it uses less digits than its factorization.

772749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4541 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 772749 is about 879.0614313005. The cubic root of 772749 is about 91.7655102755.

It can be divided in two parts, 7727 and 49, that added together give a 5-th power (7776 = 6⁵).

The spelling of 772749 in words is "seven hundred seventy-two thousand, seven hundred forty-nine".