78360640512 has 352 divisors, whose sum is σ = 261612495360. Its totient is φ = 20258488320.

The previous prime is 78360640499. The next prime is 78360640517. The reversal of 78360640512 is 21504606387.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×78360640512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78360640517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60791164 + ... + 60792452.

Almost surely, 2^78360640512 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 78360640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130806247680).

78360640512 is an abundant number, since it is smaller than the sum of its proper divisors (183251854848).

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

78360640512 is a wasteful number, since it uses less digits than its factorization.

78360640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 78360640512 in words is "seventy-eight billion, three hundred sixty million, six hundred forty thousand, five hundred twelve".