772104 has 32 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 252096.

The previous prime is 772097. The next prime is 772127. The reversal of 772104 is 401277.

It is a super-2 number, since 2×772104² = 1192289173632, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772104.

It is an unprimeable number.

772104 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁷⁷²¹⁰⁴ 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 772104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

772104 is an abundant number, since it is smaller than the sum of its proper divisors (1197816).

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

772104 is a wasteful number, since it uses less digits than its factorization.

772104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 772104 is about 878.6944861555. The cubic root of 772104 is about 91.7399714827.

The spelling of 772104 in words is "seven hundred seventy-two thousand, one hundred four", and thus it is an iban number.