772255008 has 144 divisors (see below), whose sum is σ = 2571319296. Its totient is φ = 215239680.

The previous prime is 772254947. The next prime is 772255013. The reversal of 772255008 is 800552277.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77985 + ... + 87327.

It is an arithmetic number, because the mean of its divisors is an integer number (17856384).

Almost surely, 2^772255008 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 772255008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285659648).

772255008 is an abundant number, since it is smaller than the sum of its proper divisors (1799064288).

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

772255008 is a wasteful number, since it uses less digits than its factorization.

772255008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 772255008 is about 27789.4765693778. The cubic root of 772255008 is about 917.4595192340.

The spelling of 772255008 in words is "seven hundred seventy-two million, two hundred fifty-five thousand, eight".