772065 has 64 divisors (see below), whose sum is σ = 1689600. Its totient is φ = 326592.

The previous prime is 772061. The next prime is 772073. The reversal of 772065 is 560277.

It is not a de Polignac number, because 772065 - 2² = 772061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

772065 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17934 + ... + 17976.

It is an arithmetic number, because the mean of its divisors is an integer number (26400).

2⁷⁷²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

772065 is an abundant number, since it is smaller than the sum of its proper divisors (917535).

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

772065 is a wasteful number, since it uses less digits than its factorization.

772065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 772065 is about 878.6722938616. The cubic root of 772065 is about 91.7384268207.

The spelling of 772065 in words is "seven hundred seventy-two thousand, sixty-five".