772280 has 32 divisors (see below), whose sum is σ = 1782000. Its totient is φ = 301056.

The previous prime is 772279. The next prime is 772297. The reversal of 772280 is 82277.

772280 = 56² + 57² + ... + 135².

772280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496 + ... + 1944.

2⁷⁷²²⁸⁰ 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 772280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891000).

772280 is an abundant number, since it is smaller than the sum of its proper divisors (1009720).

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

772280 is a wasteful number, since it uses less digits than its factorization.

772280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 772280 is about 878.7946290232. The cubic root of 772280 is about 91.7469416181.

The spelling of 772280 in words is "seven hundred seventy-two thousand, two hundred eighty".