772044 has 72 divisors (see below), whose sum is σ = 2279088. Its totient is φ = 201600.

The previous prime is 772019. The next prime is 772061. The reversal of 772044 is 440277.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772044.

It is an unprimeable number.

772044 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7594 + ... + 7694.

It is an arithmetic number, because the mean of its divisors is an integer number (31654).

2⁷⁷²⁰⁴⁴ 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 772044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139544).

772044 is an abundant number, since it is smaller than the sum of its proper divisors (1507044).

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

772044 is a wasteful number, since it uses less digits than its factorization.

772044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 772044 is about 878.6603439327. The cubic root of 772044 is about 91.7375950581.

The spelling of 772044 in words is "seven hundred seventy-two thousand, forty-four", and thus it is an iban number.