772828364 has 96 divisors (see below), whose sum is σ = 1803949056. Its totient is φ = 280442880.

The previous prime is 772828349. The next prime is 772828369. The reversal of 772828364 is 463828277.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538592 + ... + 540024.

It is an arithmetic number, because the mean of its divisors is an integer number (18791136).

Almost surely, 2^772828364 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 772828364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901974528).

772828364 is an abundant number, since it is smaller than the sum of its proper divisors (1031120692).

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

772828364 is a wasteful number, since it uses less digits than its factorization.

772828364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1573 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The square root of 772828364 is about 27799.7907186367. The cubic root of 772828364 is about 917.6865171322.

The spelling of 772828364 in words is "seven hundred seventy-two million, eight hundred twenty-eight thousand, three hundred sixty-four".