772734768 has 160 divisors (see below), whose sum is σ = 2273187840. Its totient is φ = 224501760.

The previous prime is 772734761. The next prime is 772734773. The reversal of 772734768 is 867437277.

It is a self number, because there is not a number n which added to its sum of digits gives 772734768.

It is not an unprimeable number, because it can be changed into a prime (772734761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831328 + ... + 832256.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424).

Almost surely, 2^772734768 is an apocalyptic number.

772734768 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 772734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136593920).

772734768 is an abundant number, since it is smaller than the sum of its proper divisors (1500453072).

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

772734768 is a wasteful number, since it uses less digits than its factorization.

772734768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 51.

The square root of 772734768 is about 27798.1072736976. The cubic root of 772734768 is about 917.6494691239.

The spelling of 772734768 in words is "seven hundred seventy-two million, seven hundred thirty-four thousand, seven hundred sixty-eight".