772105849 has 8 divisors (see below), whose sum is σ = 777738240. Its totient is φ = 766490400.

The previous prime is 772105823. The next prime is 772105903. The reversal of 772105849 is 948501277.

772105849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772105849 is a prime.

It is a super-2 number, since 2×772105849² = 1192294884120021602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772108849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95632 + ... + 103390.

It is an arithmetic number, because the mean of its divisors is an integer number (97217280).

Almost surely, 2^772105849 is an apocalyptic number.

It is an amenable number.

772105849 is a deficient number, since it is larger than the sum of its proper divisors (5632391).

772105849 is a wasteful number, since it uses less digits than its factorization.

772105849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471.

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 772105849 is about 27786.7927080475. The cubic root of 772105849 is about 917.4004471423.

The spelling of 772105849 in words is "seven hundred seventy-two million, one hundred five thousand, eight hundred forty-nine".