787452761403840 has 448 divisors, whose sum is σ = 2863996517928960. Its totient is φ = 179569311989760.

The previous prime is 787452761403829. The next prime is 787452761403929. The reversal of 787452761403840 is 48304167254787.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21247458910 + ... + 21247495970.

Almost surely, 2^{787452761403840} is an apocalyptic number.

787452761403840 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 787452761403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431998258964480).

787452761403840 is an abundant number, since it is smaller than the sum of its proper divisors (2076543756525120).

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

787452761403840 is a wasteful number, since it uses less digits than its factorization.

787452761403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44380 (or 44370 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 66.

The spelling of 787452761403840 in words is "seven hundred eighty-seven trillion, four hundred fifty-two billion, seven hundred sixty-one million, four hundred three thousand, eight hundred forty".