78287040 has 448 divisors, whose sum is σ = 322600320. Its totient is φ = 17694720.

The previous prime is 78287039. The next prime is 78287063. The reversal of 78287040 is 4078287.

It is a super-2 number, since 2×78287040² = 12257721263923200, 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 = 78286986 and 78287004.

It is a congruent number.

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, 1909420 + ... + 1909460.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 2^78287040 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 78287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

78287040 is an abundant number, since it is smaller than the sum of its proper divisors (244313280).

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

78287040 is a wasteful number, since it uses less digits than its factorization.

78287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78287040 is about 8847.9963833627. The cubic root of 78287040 is about 427.7893393676.

The spelling of 78287040 in words is "seventy-eight million, two hundred eighty-seven thousand, forty".