772380 has 72 divisors (see below), whose sum is σ = 2681952. Its totient is φ = 176256.

The previous prime is 772379. The next prime is 772381. The reversal of 772380 is 83277.

772380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (772379) and next prime (772381).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954 + ... + 1566.

2⁷⁷²³⁸⁰ is an apocalyptic number.

772380 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 772380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340976).

772380 is an abundant number, since it is smaller than the sum of its proper divisors (1909572).

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

772380 is a wasteful number, since it uses less digits than its factorization.

772380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 772380 is about 878.8515232962. The cubic root of 772380 is about 91.7509014506.

The spelling of 772380 in words is "seven hundred seventy-two thousand, three hundred eighty".