772540956 has 144 divisors (see below), whose sum is σ = 2273725440. Its totient is φ = 226432800.

The previous prime is 772540943. The next prime is 772540981. The reversal of 772540956 is 659045277.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 404155 + ... + 406061.

It is an arithmetic number, because the mean of its divisors is an integer number (15789760).

Almost surely, 2^772540956 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 772540956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136862720).

772540956 is an abundant number, since it is smaller than the sum of its proper divisors (1501184484).

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

772540956 is a wasteful number, since it uses less digits than its factorization.

772540956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 772540956 is about 27794.6209904003. The cubic root of 772540956 is about 917.5727432073.

The spelling of 772540956 in words is "seven hundred seventy-two million, five hundred forty thousand, nine hundred fifty-six".