788402160 has 600 divisors, whose sum is σ = 3448279296. Its totient is φ = 165473280.

The previous prime is 788402113. The next prime is 788402171. The reversal of 788402160 is 61204887.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4127665 + ... + 4127855.

Almost surely, 2^788402160 is an apocalyptic number.

788402160 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 788402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724139648).

788402160 is an abundant number, since it is smaller than the sum of its proper divisors (2659877136).

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

788402160 is a wasteful number, since it uses less digits than its factorization.

788402160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 788402160 is about 28078.4999599338. The cubic root of 788402160 is about 923.8098782387.

The spelling of 788402160 in words is "seven hundred eighty-eight million, four hundred two thousand, one hundred sixty".