787906560000 has 760 divisors, whose sum is σ = 3013685561920. Its totient is φ = 179306496000.

The previous prime is 787906559987. The next prime is 787906560029. The reversal of 787906560000 is 65609787.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3440639886 + ... + 3440640114.

Almost surely, 2^787906560000 is an apocalyptic number.

787906560000 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 787906560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506842780960).

787906560000 is an abundant number, since it is smaller than the sum of its proper divisors (2225779001920).

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

787906560000 is an frugal number, since it uses more digits than its factorization.

787906560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 787906560000 in words is "seven hundred eighty-seven billion, nine hundred six million, five hundred sixty thousand".