772501506 has 64 divisors (see below), whose sum is σ = 1939507200. Its totient is φ = 200002176.

The previous prime is 772501453. The next prime is 772501511. The reversal of 772501506 is 605105277.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2691 + ... + 39398.

It is an arithmetic number, because the mean of its divisors is an integer number (30304800).

Almost surely, 2^772501506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772501506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969753600).

772501506 is an abundant number, since it is smaller than the sum of its proper divisors (1167005694).

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

772501506 is a wasteful number, since it uses less digits than its factorization.

772501506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42143.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 772501506 is about 27793.9113116524. The cubic root of 772501506 is about 917.5571242464.

The spelling of 772501506 in words is "seven hundred seventy-two million, five hundred one thousand, five hundred six".