787968000 has 520 divisors, whose sum is σ = 3092266320. Its totient is φ = 199065600.

The previous prime is 787967959. The next prime is 787968007. The reversal of 787968000 is 869787.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787968007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471991 + ... + 41472009.

It is an arithmetic number, because the mean of its divisors is an integer number (5946666).

Almost surely, 2^787968000 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 787968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546133160).

787968000 is an abundant number, since it is smaller than the sum of its proper divisors (2304298320).

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

787968000 is an equidigital number, since it uses as much as digits as its factorization.

787968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 787968000 is about 28070.7677130498. The cubic root of 787968000 is about 923.6402715064.

The spelling of 787968000 in words is "seven hundred eighty-seven million, nine hundred sixty-eight thousand".