772240 has 60 divisors (see below), whose sum is σ = 2099196. Its totient is φ = 263424.

The previous prime is 772231. The next prime is 772273. The reversal of 772240 is 42277.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 200704 = 756^2 + 448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3822 + ... + 4018.

2⁷⁷²²⁴⁰ is an apocalyptic number.

772240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049598).

772240 is an abundant number, since it is smaller than the sum of its proper divisors (1326956).

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

772240 is a wasteful number, since it uses less digits than its factorization.

772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 772240 is about 878.7718702826. The cubic root of 772240 is about 91.7453575894.

The spelling of 772240 in words is "seven hundred seventy-two thousand, two hundred forty", and thus it is an iban number.