78185107440 has 800 divisors, whose sum is σ = 313611927552. Its totient is φ = 17874432000.

The previous prime is 78185107327. The next prime is 78185107457. The reversal of 78185107440 is 4470158187.

It is a super-2 number, since 2×78185107440² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90596449 + ... + 90597311.

Almost surely, 2^78185107440 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 78185107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156805963776).

78185107440 is an abundant number, since it is smaller than the sum of its proper divisors (235426820112).

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

78185107440 is a wasteful number, since it uses less digits than its factorization.

78185107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 78185107440 in words is "seventy-eight billion, one hundred eighty-five million, one hundred seven thousand, four hundred forty".