78288242666400 has 720 divisors, whose sum is σ = 307535611383000. Its totient is φ = 19266444656640.

The previous prime is 78288242666369. The next prime is 78288242666441. The reversal of 78288242666400 is 466624288287.

It can be written as a sum of positive squares in 12 ways, for example, as 2406233849616 + 75882008816784 = 1551204^2 + 8711028^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×78288242666400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4927189656 + ... + 4927205544.

Almost surely, 2^{78288242666400} 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 78288242666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153767805691500).

78288242666400 is an abundant number, since it is smaller than the sum of its proper divisors (229247368716600).

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

78288242666400 is a wasteful number, since it uses less digits than its factorization.

78288242666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21783 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 78288242666400 in words is "seventy-eight trillion, two hundred eighty-eight billion, two hundred forty-two million, six hundred sixty-six thousand, four hundred".