772168896 has 112 divisors (see below), whose sum is σ = 2279497600. Its totient is φ = 256317696.

The previous prime is 772168871. The next prime is 772168897. The reversal of 772168896 is 698861277.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (772168897) 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, 488235 + ... + 489813.

Almost surely, 2^772168896 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 772168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139748800).

772168896 is an abundant number, since it is smaller than the sum of its proper divisors (1507328704).

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

772168896 is a wasteful number, since it uses less digits than its factorization.

772168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1867 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 772168896 is about 27787.9271627086. The cubic root of 772168896 is about 917.4254168499.

The spelling of 772168896 in words is "seven hundred seventy-two million, one hundred sixty-eight thousand, eight hundred ninety-six".