772902 has 40 divisors (see below), whose sum is σ = 1870176. Its totient is φ = 237168.

The previous prime is 772867. The next prime is 772903. The reversal of 772902 is 209277.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772903) by changing a digit.

772902 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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1923 + ... + 2289.

2⁷⁷²⁹⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935088).

772902 is an abundant number, since it is smaller than the sum of its proper divisors (1097274).

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

772902 is a wasteful number, since it uses less digits than its factorization.

772902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 772902 is about 879.1484516281. The cubic root of 772902 is about 91.7715662292.

The spelling of 772902 in words is "seven hundred seventy-two thousand, nine hundred two".