787897813248 has 864 divisors, whose sum is σ = 2923268624640. Its totient is φ = 198490521600.

The previous prime is 787897813243. The next prime is 787897813253. The reversal of 787897813248 is 842318798787.

787897813248 is a `hidden beast` number, since 78 + 78 + 97 + 81 + 324 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (787897813243) and next prime (787897813253).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (787897813243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614105215 + ... + 614106497.

It is an arithmetic number, because the mean of its divisors is an integer number (3383412760).

Almost surely, 2^787897813248 is an apocalyptic number.

787897813248 is a gapful number since it is divisible by the number (78) 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 787897813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461634312320).

787897813248 is an abundant number, since it is smaller than the sum of its proper divisors (2135370811392).

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

787897813248 is a wasteful number, since it uses less digits than its factorization.

787897813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1438 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The spelling of 787897813248 in words is "seven hundred eighty-seven billion, eight hundred ninety-seven million, eight hundred thirteen thousand, two hundred forty-eight".