788374080 has 224 divisors, whose sum is σ = 2995574400. Its totient is φ = 194033664.

The previous prime is 788374073. The next prime is 788374091. The reversal of 788374080 is 80473887.

788374080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108811 + ... + 115829.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2^788374080 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 788374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).

788374080 is an abundant number, since it is smaller than the sum of its proper divisors (2207200320).

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

788374080 is a wasteful number, since it uses less digits than its factorization.

788374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 788374080 is about 28077.9999287699. Note that the first 4 decimals coincide. The cubic root of 788374080 is about 923.7989105327.

The spelling of 788374080 in words is "seven hundred eighty-eight million, three hundred seventy-four thousand, eighty".