787896668160 has 1248 divisors, whose sum is σ = 3307801017600. Its totient is φ = 179589021696.

The previous prime is 787896668131. The next prime is 787896668179. The reversal of 787896668160 is 61866698787.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194698061 + ... + 2194698419.

Almost surely, 2^787896668160 is an apocalyptic number.

787896668160 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 787896668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653900508800).

787896668160 is an abundant number, since it is smaller than the sum of its proper divisors (2519904349440).

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

787896668160 is an frugal number, since it uses more digits than its factorization.

787896668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 787896668160 in words is "seven hundred eighty-seven billion, eight hundred ninety-six million, six hundred sixty-eight thousand, one hundred sixty".