772180 has 12 divisors (see below), whose sum is σ = 1621620. Its totient is φ = 308864.

The previous prime is 772169. The next prime is 772181. The reversal of 772180 is 81277.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 524176 = 498^2 + 724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19285 + ... + 19324.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

2⁷⁷²¹⁸⁰ is an apocalyptic number.

It is an amenable number.

772180 is an abundant number, since it is smaller than the sum of its proper divisors (849440).

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

772180 is a wasteful number, since it uses less digits than its factorization.

772180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38618 (or 38616 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 772180 is about 878.7377310666. The cubic root of 772180 is about 91.7429814438.

The spelling of 772180 in words is "seven hundred seventy-two thousand, one hundred eighty".