78385647340 has 192 divisors, whose sum is σ = 221328092160. Its totient is φ = 22520540160.

The previous prime is 78385647289. The next prime is 78385647397. The reversal of 78385647340 is 4374658387.

It is a super-2 number, since 2×78385647340² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16594219 + ... + 16598941.

It is an arithmetic number, because the mean of its divisors is an integer number (1152750480).

Almost surely, 2^78385647340 is an apocalyptic number.

78385647340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78385647340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110664046080).

78385647340 is an abundant number, since it is smaller than the sum of its proper divisors (142942444820).

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

78385647340 is a wasteful number, since it uses less digits than its factorization.

78385647340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 78385647340 in words is "seventy-eight billion, three hundred eighty-five million, six hundred forty-seven thousand, three hundred forty".