772724736 has 288 divisors, whose sum is σ = 2621717280. Its totient is φ = 214695936.

The previous prime is 772724731. The next prime is 772724753. The reversal of 772724736 is 637427277.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 772724691 and 772724700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772724731) 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 23 ways as a sum of consecutive naturals, for example, 6838216 + ... + 6838328.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^772724736 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 772724736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310858640).

772724736 is an abundant number, since it is smaller than the sum of its proper divisors (1848992544).

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

772724736 is a wasteful number, since it uses less digits than its factorization.

772724736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its digits is 691488, while the sum is 45.

The square root of 772724736 is about 27797.9268291720. The cubic root of 772724736 is about 917.6454979902.

The spelling of 772724736 in words is "seven hundred seventy-two million, seven hundred twenty-four thousand, seven hundred thirty-six".