78395040 has 240 divisors, whose sum is σ = 289795968. Its totient is φ = 19920384.

The previous prime is 78395039. The next prime is 78395047. The reversal of 78395040 is 4059387.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78395040² = 12291564593203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78394986 and 78395004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78395047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297949 + ... + 298211.

Almost surely, 2^78395040 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 78395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144897984).

78395040 is an abundant number, since it is smaller than the sum of its proper divisors (211400928).

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

78395040 is a wasteful number, since it uses less digits than its factorization.

78395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78395040 is about 8854.0973565915. The cubic root of 78395040 is about 427.9859662910.

The spelling of 78395040 in words is "seventy-eight million, three hundred ninety-five thousand, forty".