772122048 has 112 divisors (see below), whose sum is σ = 2174626080. Its totient is φ = 240943104.

The previous prime is 772122047. The next prime is 772122059. The reversal of 772122048 is 840221277.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772122047) 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, 746940 + ... + 747972.

Almost surely, 2^772122048 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 772122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087313040).

772122048 is an abundant number, since it is smaller than the sum of its proper divisors (1402504032).

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

772122048 is a wasteful number, since it uses less digits than its factorization.

772122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 772122048 is about 27787.0841939200. The cubic root of 772122048 is about 917.4068628714.

The spelling of 772122048 in words is "seven hundred seventy-two million, one hundred twenty-two thousand, forty-eight".