778995360 has 576 divisors, whose sum is σ = 3253944960. Its totient is φ = 172523520.

The previous prime is 778995341. The next prime is 778995389. The reversal of 778995360 is 63599877.

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

It is a junction number, because it is equal to n+sod(n) for n = 778995297 and 778995306.

It is a congruent number.

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, 8030832 + ... + 8030928.

It is an arithmetic number, because the mean of its divisors is an integer number (5649210).

Almost surely, 2^778995360 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 778995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626972480).

778995360 is an abundant number, since it is smaller than the sum of its proper divisors (2474949600).

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

778995360 is a wasteful number, since it uses less digits than its factorization.

778995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 778995360 is about 27910.4883511557. The cubic root of 778995360 is about 920.1210300760.

The spelling of 778995360 in words is "seven hundred seventy-eight million, nine hundred ninety-five thousand, three hundred sixty".