78240000 has 180 divisors, whose sum is σ = 261803696. Its totient is φ = 20736000.

The previous prime is 78239977. The next prime is 78240011. The reversal of 78240000 is 4287.

It is a happy number.

It is a super-2 number, since 2×78240000² = 12242995200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479919 + ... + 480081.

Almost surely, 2^78240000 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 78240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130901848).

78240000 is an abundant number, since it is smaller than the sum of its proper divisors (183563696).

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

78240000 is an equidigital number, since it uses as much as digits as its factorization.

78240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 78240000 is about 8845.3377549984. The cubic root of 78240000 is about 427.7036408819.

Adding to 78240000 its reverse (4287), we get a palindrome (78244287).

The spelling of 78240000 in words is "seventy-eight million, two hundred forty thousand".