772250112 has 140 divisors (see below), whose sum is σ = 2314547730. Its totient is φ = 257292288.

The previous prime is 772250071. The next prime is 772250113. The reversal of 772250112 is 211052277.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 31539456 = 27216^2 + 5616^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (772250113) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 372214 + ... + 374282.

Almost surely, 2^772250112 is an apocalyptic number.

772250112 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 772250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157273865).

772250112 is an abundant number, since it is smaller than the sum of its proper divisors (1542297618).

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

772250112 is an frugal number, since it uses more digits than its factorization.

772250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 772250112 is about 27789.3884783383. The cubic root of 772250112 is about 917.4575803704.

The spelling of 772250112 in words is "seven hundred seventy-two million, two hundred fifty thousand, one hundred twelve".