772321536 has 162 divisors, whose sum is σ = 2590730142. Its totient is φ = 220631040.

The previous prime is 772321523. The next prime is 772321559. The reversal of 772321536 is 635123277.

It can be written as a sum of positive squares in only one way, i.e., 722534400 + 49787136 = 26880^2 + 7056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 772321536.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109476 + ... + 116316.

Almost surely, 2^772321536 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 772321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295365071).

772321536 is an abundant number, since it is smaller than the sum of its proper divisors (1818408606).

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

772321536 is a wasteful number, since it uses less digits than its factorization.

772321536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6853 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 772321536 is about 27790.6735434750. The cubic root of 772321536 is about 917.4858641562.

The spelling of 772321536 in words is "seven hundred seventy-two million, three hundred twenty-one thousand, five hundred thirty-six".