78867902979360 has 1728 divisors, whose sum is σ = 320730676890624. Its totient is φ = 18149258649600.

The previous prime is 78867902979293. The next prime is 78867902979361. The reversal of 78867902979360 is 6397920976887.

78867902979360 is a `hidden beast` number, since 7 + 8 + 86 + 7 + 90 + 2 + 97 + 9 + 360 = 666.

It is a super-2 number, since 2×78867902979360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 78867902979360.

It is not an unprimeable number, because it can be changed into a prime (78867902979361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18972310402 + ... + 18972314558.

It is an arithmetic number, because the mean of its divisors is an integer number (185608030608).

Almost surely, 2^{78867902979360} 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 78867902979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160365338445312).

78867902979360 is an abundant number, since it is smaller than the sum of its proper divisors (241862773911264).

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

78867902979360 is a wasteful number, since it uses less digits than its factorization.

78867902979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

The spelling of 78867902979360 in words is "seventy-eight trillion, eight hundred sixty-seven billion, nine hundred two million, nine hundred seventy-nine thousand, three hundred sixty".