78240624 has 80 divisors (see below), whose sum is σ = 252007680. Its totient is φ = 20321280.

The previous prime is 78240619. The next prime is 78240661. The reversal of 78240624 is 42604287.

It is a super-3 number, since 3×78240624³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6889 + ... + 14280.

It is an arithmetic number, because the mean of its divisors is an integer number (3150096).

Almost surely, 2^78240624 is an apocalyptic number.

It is an amenable number.

78240624 is an abundant number, since it is smaller than the sum of its proper divisors (173767056).

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

78240624 is a wasteful number, since it uses less digits than its factorization.

78240624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21198 (or 21192 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 78240624 is about 8845.3730277473. The cubic root of 78240624 is about 427.7047779233.

The spelling of 78240624 in words is "seventy-eight million, two hundred forty thousand, six hundred twenty-four".