788615820 has 216 divisors, whose sum is σ = 2550405312. Its totient is φ = 197130240.

The previous prime is 788615819. The next prime is 788615831. The reversal of 788615820 is 28516887.

788615820 is a `hidden beast` number, since 7 + 8 + 8 + 61 + 582 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 8130012 + ... + 8130108.

It is an arithmetic number, because the mean of its divisors is an integer number (11807432).

Almost surely, 2^788615820 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 788615820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275202656).

788615820 is an abundant number, since it is smaller than the sum of its proper divisors (1761789492).

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

788615820 is a wasteful number, since it uses less digits than its factorization.

788615820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 788615820 is about 28082.3043926242. The cubic root of 788615820 is about 923.8933227044.

It can be divided in two parts, 78861 and 5820, that added together give a square (84681 = 291²).

The spelling of 788615820 in words is "seven hundred eighty-eight million, six hundred fifteen thousand, eight hundred twenty".