78875555040 has 288 divisors, whose sum is σ = 272446312320. Its totient is φ = 20778089472.

The previous prime is 78875555023. The next prime is 78875555041. The reversal of 78875555040 is 4055557887.

78875555040 is a `hidden beast` number, since 7 + 8 + 87 + 5 + 5 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×78875555040³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78875555041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95375107 + ... + 95375933.

It is an arithmetic number, because the mean of its divisors is an integer number (945994140).

Almost surely, 2^78875555040 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 78875555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136223156160).

78875555040 is an abundant number, since it is smaller than the sum of its proper divisors (193570757280).

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

78875555040 is a wasteful number, since it uses less digits than its factorization.

78875555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 54.

The spelling of 78875555040 in words is "seventy-eight billion, eight hundred seventy-five million, five hundred fifty-five thousand, forty".