78095940 has 96 divisors (see below), whose sum is σ = 239621760. Its totient is φ = 18886656.

The previous prime is 78095923. The next prime is 78095951. The reversal of 78095940 is 4959087.

78095940 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

78095940 is a modest number, since divided by 95940 gives 780 as remainder.

78095940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 78095892 and 78095901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45172 + ... + 46868.

It is an arithmetic number, because the mean of its divisors is an integer number (2496060).

Almost surely, 2^78095940 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 78095940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119810880).

78095940 is an abundant number, since it is smaller than the sum of its proper divisors (161525820).

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

78095940 is a wasteful number, since it uses less digits than its factorization.

78095940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 78095940 is about 8837.1907300906. The cubic root of 78095940 is about 427.4409754014.

The spelling of 78095940 in words is "seventy-eight million, ninety-five thousand, nine hundred forty".