772163712 has 128 divisors (see below), whose sum is σ = 2288880000. Its totient is φ = 256269312.

The previous prime is 772163699. The next prime is 772163713. The reversal of 772163712 is 217361277.

772163712 is a `hidden beast` number, since 7 + 7 + 2 + 1 + 637 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (772163713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288789 + ... + 1289387.

It is an arithmetic number, because the mean of its divisors is an integer number (17881875).

Almost surely, 2^772163712 is an apocalyptic number.

772163712 is a gapful number since it is divisible by the number (72) 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 772163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144440000).

772163712 is an abundant number, since it is smaller than the sum of its proper divisors (1516716288).

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

772163712 is a wasteful number, since it uses less digits than its factorization.

772163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 977 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 772163712 is about 27787.8338846338. The cubic root of 772163712 is about 917.4233637826.

The spelling of 772163712 in words is "seven hundred seventy-two million, one hundred sixty-three thousand, seven hundred twelve".