78277914000 has 1600 divisors, whose sum is σ = 346037852160. Its totient is φ = 16796160000.

The previous prime is 78277913999. The next prime is 78277914007. The reversal of 78277914000 is 41977287.

It is a happy number.

It is a super-2 number, since 2×78277914000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78277914007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 718145946 + ... + 718146054.

Almost surely, 2^78277914000 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 78277914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173018926080).

78277914000 is an abundant number, since it is smaller than the sum of its proper divisors (267759938160).

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

78277914000 is a wasteful number, since it uses less digits than its factorization.

78277914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 78277914000 in words is "seventy-eight billion, two hundred seventy-seven million, nine hundred fourteen thousand".