78024240 has 240 divisors, whose sum is σ = 304319808. Its totient is φ = 17547264.

The previous prime is 78024229. The next prime is 78024263. The reversal of 78024240 is 4242087.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 569452 + ... + 569588.

Almost surely, 2^78024240 is an apocalyptic number.

78024240 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 78024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152159904).

78024240 is an abundant number, since it is smaller than the sum of its proper divisors (226295568).

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

78024240 is a wasteful number, since it uses less digits than its factorization.

78024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 78024240 is about 8833.1330794911. The cubic root of 78024240 is about 427.3101239474.

The spelling of 78024240 in words is "seventy-eight million, twenty-four thousand, two hundred forty".