772828368 has 80 divisors (see below), whose sum is σ = 2162778240. Its totient is φ = 236385792.

The previous prime is 772828349. The next prime is 772828369. The reversal of 772828368 is 863828277.

It is a self number, because there is not a number n which added to its sum of digits gives 772828368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772828369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104373 + ... + 111531.

It is an arithmetic number, because the mean of its divisors is an integer number (27034728).

Almost surely, 2^772828368 is an apocalyptic number.

772828368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772828368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081389120).

772828368 is an abundant number, since it is smaller than the sum of its proper divisors (1389949872).

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

772828368 is a wasteful number, since it uses less digits than its factorization.

772828368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7350 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 772828368 is about 27799.7907905797. The cubic root of 772828368 is about 917.6865187154.

Subtracting 772828368 from its reverse (863828277), we obtain a palindrome (90999909).

The spelling of 772828368 in words is "seven hundred seventy-two million, eight hundred twenty-eight thousand, three hundred sixty-eight".