78857028480 has 384 divisors, whose sum is σ = 272102544000. Its totient is φ = 19371073536.

The previous prime is 78857028473. The next prime is 78857028541. The reversal of 78857028480 is 8482075887.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78857028480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 78857028480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49940331 + ... + 49941909.

It is an arithmetic number, because the mean of its divisors is an integer number (708600375).

Almost surely, 2^78857028480 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 78857028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136051272000).

78857028480 is an abundant number, since it is smaller than the sum of its proper divisors (193245515520).

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

78857028480 is a wasteful number, since it uses less digits than its factorization.

78857028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 57.

The spelling of 78857028480 in words is "seventy-eight billion, eight hundred fifty-seven million, twenty-eight thousand, four hundred eighty".