772429420920 has 128 divisors (see below), whose sum is σ = 2454261431040. Its totient is φ = 193812326400.

The previous prime is 772429420871. The next prime is 772429420963. The reversal of 772429420920 is 29024924277.

772429420920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 772429420920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7806879 + ... + 7905201.

It is an arithmetic number, because the mean of its divisors is an integer number (19173917430).

Almost surely, 2^772429420920 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 772429420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227130715520).

772429420920 is an abundant number, since it is smaller than the sum of its proper divisors (1681832010120).

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

772429420920 is a wasteful number, since it uses less digits than its factorization.

772429420920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102205 (or 102201 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 772429420920 in words is "seven hundred seventy-two billion, four hundred twenty-nine million, four hundred twenty thousand, nine hundred twenty".