772271136 has 288 divisors, whose sum is σ = 2744501760. Its totient is φ = 200558592.

The previous prime is 772271117. The next prime is 772271153. The reversal of 772271136 is 631172277.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 772271136.

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 47 ways as a sum of consecutive naturals, for example, 2070246 + ... + 2070618.

It is an arithmetic number, because the mean of its divisors is an integer number (9529520).

Almost surely, 2^772271136 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 772271136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372250880).

772271136 is an abundant number, since it is smaller than the sum of its proper divisors (1972230624).

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

772271136 is a wasteful number, since it uses less digits than its factorization.

772271136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

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

The square root of 772271136 is about 27789.7667496509. The cubic root of 772271136 is about 917.4659060207.

The spelling of 772271136 in words is "seven hundred seventy-two million, two hundred seventy-one thousand, one hundred thirty-six".