772728 has 32 divisors (see below), whose sum is σ = 2108160. Its totient is φ = 234080.

The previous prime is 772721. The next prime is 772757. The reversal of 772728 is 827277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772721) 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 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

2⁷⁷²⁷²⁸ is an apocalyptic number.

It is an amenable number.

772728 is an abundant number, since it is smaller than the sum of its proper divisors (1335432).

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

772728 is a wasteful number, since it uses less digits than its factorization.

772728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2943 counting only the distinct ones).

The product of its digits is 10976, while the sum is 33.

The square root of 772728 is about 879.0494866616. The cubic root of 772728 is about 91.7646790037.

The spelling of 772728 in words is "seven hundred seventy-two thousand, seven hundred twenty-eight".