787104486400 has 132 divisors (see below), whose sum is σ = 1998655632540. Its totient is φ = 307162316800.

The previous prime is 787104486379. The next prime is 787104486407. The reversal of 787104486400 is 4684401787.

It can be written as a sum of positive squares in 6 ways, for example, as 78113542144 + 708990944256 = 279488^2 + 842016^2 .

It is a super-3 number, since 3×787104486400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787104486407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674646 + ... + 1424554.

Almost surely, 2^787104486400 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 787104486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999327816270).

787104486400 is an abundant number, since it is smaller than the sum of its proper divisors (1211551146140).

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

787104486400 is a wasteful number, since it uses less digits than its factorization.

787104486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749980 (or 749957 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

The spelling of 787104486400 in words is "seven hundred eighty-seven billion, one hundred four million, four hundred eighty-six thousand, four hundred".