78241824 has 72 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 25826688.

The previous prime is 78241819. The next prime is 78241879. The reversal of 78241824 is 42814287.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78241824² = 12243566045693952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29547 + ... + 32085.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^78241824 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 78241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

78241824 is an abundant number, since it is smaller than the sum of its proper divisors (146426256).

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

78241824 is a wasteful number, since it uses less digits than its factorization.

78241824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2651 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 78241824 is about 8845.4408595615. The cubic root of 78241824 is about 427.7069645245.

The spelling of 78241824 in words is "seventy-eight million, two hundred forty-one thousand, eight hundred twenty-four".