772638 has 16 divisors (see below), whose sum is σ = 1558656. Its totient is φ = 255320.

The previous prime is 772631. The next prime is 772649. The reversal of 772638 is 836277.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 772599 and 772608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772631) by changing a digit.

772638 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 7 ways as a sum of consecutive naturals, for example, 295 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (97416).

2⁷⁷²⁶³⁸ is an apocalyptic number.

772638 is an abundant number, since it is smaller than the sum of its proper divisors (786018).

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

772638 is a wasteful number, since it uses less digits than its factorization.

772638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119.

The product of its digits is 14112, while the sum is 33.

The square root of 772638 is about 878.9982935137. The cubic root of 772638 is about 91.7611162401.

The spelling of 772638 in words is "seven hundred seventy-two thousand, six hundred thirty-eight".