787141048320 has 1920 divisors, whose sum is σ = 3342664765440. Its totient is φ = 176637542400.

The previous prime is 787141048307. The next prime is 787141048321. The reversal of 787141048320 is 23840141787.

787141048320 is a `hidden beast` number, since 7 + 8 + 7 + 141 + 0 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (787141048321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25391646705 + ... + 25391646735.

It is an arithmetic number, because the mean of its divisors is an integer number (1740971232).

Almost surely, 2^787141048320 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 787141048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671332382720).

787141048320 is an abundant number, since it is smaller than the sum of its proper divisors (2555523717120).

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

787141048320 is a wasteful number, since it uses less digits than its factorization.

787141048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 787141048320 in words is "seven hundred eighty-seven billion, one hundred forty-one million, forty-eight thousand, three hundred twenty".