772644034272 has 96 divisors (see below), whose sum is σ = 2329022747520. Its totient is φ = 221811678720.

The previous prime is 772644034271. The next prime is 772644034307. The reversal of 772644034272 is 272430446277.

772644034272 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 is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×772644034272³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772644034271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19234423 + ... + 19274550.

It is an arithmetic number, because the mean of its divisors is an integer number (24260653620).

Almost surely, 2^772644034272 is an apocalyptic number.

It is an amenable number.

772644034272 is an abundant number, since it is smaller than the sum of its proper divisors (1556378713248).

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

772644034272 is a wasteful number, since it uses less digits than its factorization.

772644034272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38509016 (or 38509008 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 48.

The spelling of 772644034272 in words is "seven hundred seventy-two billion, six hundred forty-four million, thirty-four thousand, two hundred seventy-two".