78247824 has 80 divisors (see below), whose sum is σ = 207671232. Its totient is φ = 25380864.

The previous prime is 78247823. The next prime is 78247843. The reversal of 78247824 is 42874287.

It is a super-2 number, since 2×78247824² = 12245443921469952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78247823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479967 + ... + 480129.

Almost surely, 2^78247824 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 78247824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103835616).

78247824 is an abundant number, since it is smaller than the sum of its proper divisors (129423408).

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

78247824 is a wasteful number, since it uses less digits than its factorization.

78247824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 78247824 is about 8845.7800108300. The cubic root of 78247824 is about 427.7178971948.

The spelling of 78247824 in words is "seventy-eight million, two hundred forty-seven thousand, eight hundred twenty-four".