78330240 has 160 divisors (see below), whose sum is σ = 279916560. Its totient is φ = 20874240.

The previous prime is 78330227. The next prime is 78330251. The reversal of 78330240 is 4203387.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×78330240² = 12271252996915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51085 + ... + 52595.

Almost surely, 2^78330240 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 78330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139958280).

78330240 is an abundant number, since it is smaller than the sum of its proper divisors (201586320).

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

78330240 is a wasteful number, since it uses less digits than its factorization.

78330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78330240 is about 8850.4372773327. The cubic root of 78330240 is about 427.8680118240.

The spelling of 78330240 in words is "seventy-eight million, three hundred thirty thousand, two hundred forty".