772840 has 24 divisors (see below), whose sum is σ = 1751490. Its totient is φ = 306912.

The previous prime is 772789. The next prime is 772843. The reversal of 772840 is 48277.

It can be written as a sum of positive squares in only one way, i.e., 695556 + 77284 = 834^2 + 278^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 772799 and 772808.

It is not an unprimeable number, because it can be changed into a prime (772843) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5491 + ... + 5629.

2⁷⁷²⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

772840 is an abundant number, since it is smaller than the sum of its proper divisors (978650).

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

772840 is a wasteful number, since it uses less digits than its factorization.

772840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 772840 is about 879.1131895268. The cubic root of 772840 is about 91.7691122789.

The spelling of 772840 in words is "seven hundred seventy-two thousand, eight hundred forty".