772990680 has 768 divisors, whose sum is σ = 3368563200. Its totient is φ = 139345920.

The previous prime is 772990667. The next prime is 772990681. The reversal of 772990680 is 86099277.

772990680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772990681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20891622 + ... + 20891658.

It is an arithmetic number, because the mean of its divisors is an integer number (4386150).

Almost surely, 2^772990680 is an apocalyptic number.

772990680 is a gapful number since it is divisible by the number (70) 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 772990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684281600).

772990680 is an abundant number, since it is smaller than the sum of its proper divisors (2595572520).

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

772990680 is a wasteful number, since it uses less digits than its factorization.

772990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 772990680 is about 27802.7099398602. The cubic root of 772990680 is about 917.7507594161.

The spelling of 772990680 in words is "seven hundred seventy-two million, nine hundred ninety thousand, six hundred eighty".