772640172324 has 18 divisors (see below), whose sum is σ = 1953062657910. Its totient is φ = 257546724096.

The previous prime is 772640172307. The next prime is 772640172329. The reversal of 772640172324 is 423271046277.

772640172324 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 401 + 7 + 232 + 4 = 666.

772640172324 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 581531306724 + 191108865600 = 762582^2 + 437160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 772640172324.

It is not an unprimeable number, because it can be changed into a prime (772640172329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10731113469 + ... + 10731113540.

It is an arithmetic number, because the mean of its divisors is an integer number (108503480995).

Almost surely, 2^772640172324 is an apocalyptic number.

It is an amenable number.

772640172324 is an abundant number, since it is smaller than the sum of its proper divisors (1180422485586).

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

772640172324 is a wasteful number, since it uses less digits than its factorization.

772640172324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21462227019 (or 21462227014 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 772640172324 in words is "seven hundred seventy-two billion, six hundred forty million, one hundred seventy-two thousand, three hundred twenty-four".