788949504000 has 1664 divisors, whose sum is σ = 3454342594560. Its totient is φ = 173850624000.

The previous prime is 788949503999. The next prime is 788949504017. The reversal of 788949504000 is 405949887.

788949504000 is a `hidden beast` number, since 78 + 89 + 4 + 95 + 0 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2999807869 + ... + 2999808131.

It is an arithmetic number, because the mean of its divisors is an integer number (2075927040).

Almost surely, 2^788949504000 is an apocalyptic number.

788949504000 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 788949504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727171297280).

788949504000 is an abundant number, since it is smaller than the sum of its proper divisors (2665393090560).

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

788949504000 is a wasteful number, since it uses less digits than its factorization.

788949504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 788949504000 in words is "seven hundred eighty-eight billion, nine hundred forty-nine million, five hundred four thousand".