778413888 has 280 divisors, whose sum is σ = 2778353600. Its totient is φ = 210511872.

The previous prime is 778413877. The next prime is 778413913. The reversal of 778413888 is 888314877.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688908 + ... + 690036.

Almost surely, 2^778413888 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 778413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389176800).

778413888 is an abundant number, since it is smaller than the sum of its proper divisors (1999939712).

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

778413888 is a wasteful number, since it uses less digits than its factorization.

778413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1160 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 778413888 is about 27900.0696773323. The cubic root of 778413888 is about 919.8920352196.

The spelling of 778413888 in words is "seven hundred seventy-eight million, four hundred thirteen thousand, eight hundred eighty-eight".