778992552 has 320 divisors, whose sum is σ = 2569459200. Its totient is φ = 218350080.

The previous prime is 778992503. The next prime is 778992553. The reversal of 778992552 is 255299877.

778992552 is a `hidden beast` number, since 7 + 7 + 89 + 9 + 2 + 552 = 666.

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

Its product of digits (3175200) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (778992553) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4961658 + ... + 4961814.

It is an arithmetic number, because the mean of its divisors is an integer number (8029560).

Almost surely, 2^778992552 is an apocalyptic number.

778992552 is a gapful number since it is divisible by the number (72) 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 778992552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284729600).

778992552 is an abundant number, since it is smaller than the sum of its proper divisors (1790466648).

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

778992552 is a wasteful number, since it uses less digits than its factorization.

778992552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 778992552 is about 27910.4380474402. The cubic root of 778992552 is about 920.1199245055.

The spelling of 778992552 in words is "seven hundred seventy-eight million, nine hundred ninety-two thousand, five hundred fifty-two".