787053983040 has 1344 divisors, whose sum is σ = 3232025072640. Its totient is φ = 181667266560.

The previous prime is 787053983033. The next prime is 787053983041. The reversal of 787053983040 is 40389350787.

787053983040 is a `hidden beast` number, since 7 + 8 + 70 + 539 + 8 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787053983041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2904258105 + ... + 2904258375.

It is an arithmetic number, because the mean of its divisors is an integer number (2404780560).

Almost surely, 2^787053983040 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 787053983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616012536320).

787053983040 is an abundant number, since it is smaller than the sum of its proper divisors (2444971089600).

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

787053983040 is a wasteful number, since it uses less digits than its factorization.

787053983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 787053983040 in words is "seven hundred eighty-seven billion, fifty-three million, nine hundred eighty-three thousand, forty".