772297344 has 384 divisors, whose sum is σ = 2806876800. Its totient is φ = 198402048.

The previous prime is 772297333. The next prime is 772297349. The reversal of 772297344 is 443792277.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 772297344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772297349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556027 + ... + 5556165.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^772297344 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 772297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

772297344 is an abundant number, since it is smaller than the sum of its proper divisors (2034579456).

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

772297344 is a wasteful number, since it uses less digits than its factorization.

772297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 772297344 is about 27790.2382861321. The cubic root of 772297344 is about 917.4762843595.

It can be divided in two parts, 772297 and 344, that added together give a square (772641 = 879²).

The spelling of 772297344 in words is "seven hundred seventy-two million, two hundred ninety-seven thousand, three hundred forty-four".