772816590 has 192 divisors, whose sum is σ = 2495840256. Its totient is φ = 161554176.

The previous prime is 772816579. The next prime is 772816607. The reversal of 772816590 is 95618277.

772816590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1039759 + ... + 1040501.

It is an arithmetic number, because the mean of its divisors is an integer number (12999168).

Almost surely, 2^772816590 is an apocalyptic number.

772816590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 772816590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247920128).

772816590 is an abundant number, since it is smaller than the sum of its proper divisors (1723023666).

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

772816590 is a wasteful number, since it uses less digits than its factorization.

772816590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 772816590 is about 27799.5789536460. The cubic root of 772816590 is about 917.6818568064.

The spelling of 772816590 in words is "seven hundred seventy-two million, eight hundred sixteen thousand, five hundred ninety".