787461998400 has 1008 divisors, whose sum is σ = 3606198771840. Its totient is φ = 163620864000.

The previous prime is 787461998371. The next prime is 787461998443. The reversal of 787461998400 is 4899164787.

787461998400 is a `hidden beast` number, since 7 + 8 + 7 + 4 + 619 + 9 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36579640 + ... + 36601160.

Almost surely, 2^787461998400 is an apocalyptic number.

787461998400 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 787461998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803099385920).

787461998400 is an abundant number, since it is smaller than the sum of its proper divisors (2818736773440).

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

787461998400 is a wasteful number, since it uses less digits than its factorization.

787461998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21581 (or 21549 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 787461998400 in words is "seven hundred eighty-seven billion, four hundred sixty-one million, nine hundred ninety-eight thousand, four hundred".