78319824 has 160 divisors (see below), whose sum is σ = 239746560. Its totient is φ = 21772800.

The previous prime is 78319823. The next prime is 78319847. The reversal of 78319824 is 42891387.

It is a super-2 number, since 2×78319824² = 12267989662781952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78319823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371079 + ... + 371289.

It is an arithmetic number, because the mean of its divisors is an integer number (1498416).

Almost surely, 2^78319824 is an apocalyptic number.

78319824 is a gapful number since it is divisible by the number (74) 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 78319824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119873280).

78319824 is an abundant number, since it is smaller than the sum of its proper divisors (161426736).

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

78319824 is a wasteful number, since it uses less digits than its factorization.

78319824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 78319824 is about 8849.8488122679. The cubic root of 78319824 is about 427.8490456675.

The spelling of 78319824 in words is "seventy-eight million, three hundred nineteen thousand, eight hundred twenty-four".