772830 has 48 divisors (see below), whose sum is σ = 2081664. Its totient is φ = 198720.

The previous prime is 772789. The next prime is 772843. The reversal of 772830 is 38277.

It is a junction number, because it is equal to n+sod(n) for n = 772794 and 772803.

It is a congruent number.

It is an unprimeable number.

772830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2652 + ... + 2928.

It is an arithmetic number, because the mean of its divisors is an integer number (43368).

2⁷⁷²⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040832).

772830 is an abundant number, since it is smaller than the sum of its proper divisors (1308834).

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

772830 is a wasteful number, since it uses less digits than its factorization.

772830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 318 counting only the distinct ones).

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

The square root of 772830 is about 879.1075019587. The cubic root of 772830 is about 91.7687164682.

The spelling of 772830 in words is "seven hundred seventy-two thousand, eight hundred thirty".