787488972480 has 2016 divisors, whose sum is σ = 3460487546880. Its totient is φ = 169723330560.

The previous prime is 787488972433. The next prime is 787488972503. The reversal of 787488972480 is 84279884787.

787488972480 is a `hidden beast` number, since 7 + 8 + 74 + 8 + 8 + 9 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 787488972399 and 787488972408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6968928904 + ... + 6968929016.

It is an arithmetic number, because the mean of its divisors is an integer number (1716511680).

Almost surely, 2^787488972480 is an apocalyptic number.

787488972480 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 787488972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730243773440).

787488972480 is an abundant number, since it is smaller than the sum of its proper divisors (2672998574400).

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

787488972480 is a wasteful number, since it uses less digits than its factorization.

787488972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 787488972480 in words is "seven hundred eighty-seven billion, four hundred eighty-eight million, nine hundred seventy-two thousand, four hundred eighty".