772164 has 36 divisors (see below), whose sum is σ = 1981980. Its totient is φ = 253440.

The previous prime is 772159. The next prime is 772169. The reversal of 772164 is 461277.

It is an interprime number because it is at equal distance from previous prime (772159) and next prime (772169).

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 412164 = 600^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772164.

It is not an unprimeable number, because it can be changed into a prime (772169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3084 + ... + 3324.

It is an arithmetic number, because the mean of its divisors is an integer number (55055).

2⁷⁷²¹⁶⁴ 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 772164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990990).

772164 is an abundant number, since it is smaller than the sum of its proper divisors (1209816).

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

772164 is a wasteful number, since it uses less digits than its factorization.

772164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 772164 is about 878.7286270516. The cubic root of 772164 is about 91.7423477842.

The spelling of 772164 in words is "seven hundred seventy-two thousand, one hundred sixty-four".