778898120 has 256 divisors, whose sum is σ = 2407104000. Its totient is φ = 223534080.

The previous prime is 778898111. The next prime is 778898143. The reversal of 778898120 is 21898877.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1961762 + ... + 1962158.

It is an arithmetic number, because the mean of its divisors is an integer number (9402750).

Almost surely, 2^778898120 is an apocalyptic number.

778898120 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 778898120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203552000).

778898120 is an abundant number, since it is smaller than the sum of its proper divisors (1628205880).

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

778898120 is a wasteful number, since it uses less digits than its factorization.

778898120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 50.

The square root of 778898120 is about 27908.7462993234. The cubic root of 778898120 is about 920.0827430306.

It can be divided in two parts, 778 and 898120, that added together give a palindrome (898898).

The spelling of 778898120 in words is "seven hundred seventy-eight million, eight hundred ninety-eight thousand, one hundred twenty".