78864240 has 320 divisors, whose sum is σ = 315979776. Its totient is φ = 15814656.

The previous prime is 78864229. The next prime is 78864257. The reversal of 78864240 is 4246887.

It is a super-3 number, since 3×78864240³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 502242 + ... + 502398.

Almost surely, 2^78864240 is an apocalyptic number.

78864240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157989888).

78864240 is an abundant number, since it is smaller than the sum of its proper divisors (237115536).

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

78864240 is a wasteful number, since it uses less digits than its factorization.

78864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 78864240 is about 8880.5540367705. The cubic root of 78864240 is about 428.8381108456.

The spelling of 78864240 in words is "seventy-eight million, eight hundred sixty-four thousand, two hundred forty".