787720406832 has 120 divisors (see below), whose sum is σ = 2276726512320. Its totient is φ = 254099112960.

The previous prime is 787720406819. The next prime is 787720406861. The reversal of 787720406832 is 238604027787.

787720406832 is a `hidden beast` number, since 78 + 77 + 20 + 406 + 83 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51519 + ... + 1256222.

It is an arithmetic number, because the mean of its divisors is an integer number (18972720936).

Almost surely, 2^787720406832 is an apocalyptic number.

787720406832 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 787720406832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138363256160).

787720406832 is an abundant number, since it is smaller than the sum of its proper divisors (1489006105488).

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

787720406832 is a wasteful number, since it uses less digits than its factorization.

787720406832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307891 (or 1307882 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 787720406832 in words is "seven hundred eighty-seven billion, seven hundred twenty million, four hundred six thousand, eight hundred thirty-two".