772779934920 has 384 divisors, whose sum is σ = 2729274912000. Its totient is φ = 174524442624.

The previous prime is 772779934909. The next prime is 772779934931. The reversal of 772779934920 is 29439977277.

It is an interprime number because it is at equal distance from previous prime (772779934909) and next prime (772779934931).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169876806 + ... + 169881354.

It is an arithmetic number, because the mean of its divisors is an integer number (7107486750).

Almost surely, 2^772779934920 is an apocalyptic number.

772779934920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772779934920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364637456000).

772779934920 is an abundant number, since it is smaller than the sum of its proper divisors (1956494977080).

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

772779934920 is a wasteful number, since it uses less digits than its factorization.

772779934920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 66.

The spelling of 772779934920 in words is "seven hundred seventy-two billion, seven hundred seventy-nine million, nine hundred thirty-four thousand, nine hundred twenty".