787145527728 has 320 divisors, whose sum is σ = 2736374860800. Its totient is φ = 211846440960.

The previous prime is 787145527697. The next prime is 787145527733. The reversal of 787145527728 is 827725541787.

787145527728 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 4 + 552 + 7 + 72 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3486075 + ... + 3704997.

It is an arithmetic number, because the mean of its divisors is an integer number (8551171440).

Almost surely, 2^787145527728 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 787145527728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368187430400).

787145527728 is an abundant number, since it is smaller than the sum of its proper divisors (1949229333072).

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

787145527728 is a wasteful number, since it uses less digits than its factorization.

787145527728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219017 (or 219005 counting only the distinct ones).

The product of its digits is 61465600, while the sum is 63.

The spelling of 787145527728 in words is "seven hundred eighty-seven billion, one hundred forty-five million, five hundred twenty-seven thousand, seven hundred twenty-eight".