772848 has 40 divisors (see below), whose sum is σ = 2219600. Its totient is φ = 257472.

The previous prime is 772847. The next prime is 772853. The reversal of 772848 is 848277.

It is a super-2 number, since 2×772848² = 1194588062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 463 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (55490).

2⁷⁷²⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

772848 is an abundant number, since it is smaller than the sum of its proper divisors (1446752).

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

772848 is a wasteful number, since it uses less digits than its factorization.

772848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1794 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 772848 is about 879.1177395548. The cubic root of 772848 is about 91.7694289250.

It can be divided in two parts, 7728 and 48, that added together give a 5-th power (7776 = 6⁵).

The spelling of 772848 in words is "seven hundred seventy-two thousand, eight hundred forty-eight".