772306344 has 24 divisors (see below), whose sum is σ = 2091663210. Its totient is φ = 257435424.

The previous prime is 772306343. The next prime is 772306361. The reversal of 772306344 is 443603277.

It is a happy number.

772306344 is a `hidden beast` number, since 7 + 7 + 2 + 306 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 682776900 + 89529444 = 26130^2 + 9462^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 772306299 and 772306308.

It is not an unprimeable number, because it can be changed into a prime (772306343) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5363167 + ... + 5363310.

Almost surely, 2^772306344 is an apocalyptic number.

It is an amenable number.

772306344 is an abundant number, since it is smaller than the sum of its proper divisors (1319356866).

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

772306344 is a wasteful number, since it uses less digits than its factorization.

772306344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726489 (or 10726482 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 772306344 is about 27790.4002130232. The cubic root of 772306344 is about 917.4798482954.

The spelling of 772306344 in words is "seven hundred seventy-two million, three hundred six thousand, three hundred forty-four".