787659320448 has 1024 divisors, whose sum is σ = 3138328166400. Its totient is φ = 187818393600.

The previous prime is 787659320431. The next prime is 787659320449. The reversal of 787659320448 is 844023956787.

787659320448 is a `hidden beast` number, since 7 + 87 + 6 + 5 + 93 + 20 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (787659320449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 771458178 + ... + 771459198.

It is an arithmetic number, because the mean of its divisors is an integer number (3064773600).

Almost surely, 2^787659320448 is an apocalyptic number.

787659320448 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 787659320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569164083200).

787659320448 is an abundant number, since it is smaller than the sum of its proper divisors (2350668845952).

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

787659320448 is a wasteful number, since it uses less digits than its factorization.

787659320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 787659320448 in words is "seven hundred eighty-seven billion, six hundred fifty-nine million, three hundred twenty thousand, four hundred forty-eight".