78675840 has 256 divisors, whose sum is σ = 290088000. Its totient is φ = 20127744.

The previous prime is 78675763. The next prime is 78675841. The reversal of 78675840 is 4857687.

78675840 is a `hidden beast` number, since 7 + 8 + 67 + 584 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78675841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501042 + ... + 501198.

Almost surely, 2^78675840 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 78675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145044000).

78675840 is an abundant number, since it is smaller than the sum of its proper divisors (211412160).

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

78675840 is a wasteful number, since it uses less digits than its factorization.

78675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78675840 is about 8869.9402478258. The cubic root of 78675840 is about 428.4963525634.

The spelling of 78675840 in words is "seventy-eight million, six hundred seventy-five thousand, eight hundred forty".