778849344 has 420 divisors, whose sum is σ = 2879652864. Its totient is φ = 203793408.

The previous prime is 778849343. The next prime is 778849369. The reversal of 778849344 is 443948877.

778849344 is a `hidden beast` number, since 77 + 88 + 493 + 4 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (778849343) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6132609 + ... + 6132735.

Almost surely, 2^778849344 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 778849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439826432).

778849344 is an abundant number, since it is smaller than the sum of its proper divisors (2100803520).

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

778849344 is a wasteful number, since it uses less digits than its factorization.

778849344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 778849344 is about 27907.8724377191. The cubic root of 778849344 is about 920.0635368848.

The spelling of 778849344 in words is "seven hundred seventy-eight million, eight hundred forty-nine thousand, three hundred forty-four".