778120560 has 320 divisors, whose sum is σ = 3124085760. Its totient is φ = 174320640.

The previous prime is 778120559. The next prime is 778120573. The reversal of 778120560 is 65021877.

778120560 is a `hidden beast` number, since 7 + 78 + 1 + 20 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 800875 + ... + 801845.

It is an arithmetic number, because the mean of its divisors is an integer number (9762768).

Almost surely, 2^778120560 is an apocalyptic number.

778120560 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 778120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562042880).

778120560 is an abundant number, since it is smaller than the sum of its proper divisors (2345965200).

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

778120560 is a wasteful number, since it uses less digits than its factorization.

778120560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 778120560 is about 27894.8124209502. The cubic root of 778120560 is about 919.7764737360.

The spelling of 778120560 in words is "seven hundred seventy-eight million, one hundred twenty thousand, five hundred sixty".