787283920896 has 384 divisors, whose sum is σ = 2368508688000. Its totient is φ = 230456033280.

The previous prime is 787283920883. The next prime is 787283920963. The reversal of 787283920896 is 698029382787.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 787283920896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372589536 + ... + 372591648.

It is an arithmetic number, because the mean of its divisors is an integer number (6167991375).

Almost surely, 2^787283920896 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 787283920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184254344000).

787283920896 is an abundant number, since it is smaller than the sum of its proper divisors (1581224767104).

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

787283920896 is a wasteful number, since it uses less digits than its factorization.

787283920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 787283920896 in words is "seven hundred eighty-seven billion, two hundred eighty-three million, nine hundred twenty thousand, eight hundred ninety-six".