772764 has 24 divisors (see below), whose sum is σ = 1830528. Its totient is φ = 253680.

The previous prime is 772757. The next prime is 772771. The reversal of 772764 is 467277.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (772757) and next prime (772771).

It is a congruent number.

It is an unprimeable number.

772764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 399 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (76272).

2⁷⁷²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

772764 is an abundant number, since it is smaller than the sum of its proper divisors (1057764).

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

772764 is a wasteful number, since it uses less digits than its factorization.

772764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its digits is 16464, while the sum is 33.

The square root of 772764 is about 879.0699630860. The cubic root of 772764 is about 91.7661040318.

It can be divided in two parts, 7 and 72764, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 772764 in words is "seven hundred seventy-two thousand, seven hundred sixty-four".