78393240 has 192 divisors, whose sum is σ = 273592800. Its totient is φ = 19408896.

The previous prime is 78393193. The next prime is 78393253. The reversal of 78393240 is 4239387.

It is a super-2 number, since 2×78393240² = 12291000155395200, 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 = 78393195 and 78393204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499242 + ... + 499398.

Almost surely, 2^78393240 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 78393240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136796400).

78393240 is an abundant number, since it is smaller than the sum of its proper divisors (195199560).

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

78393240 is a wasteful number, since it uses less digits than its factorization.

78393240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 78393240 is about 8853.9957081535. The cubic root of 78393240 is about 427.9826906558.

The spelling of 78393240 in words is "seventy-eight million, three hundred ninety-three thousand, two hundred forty".