78169824 has 72 divisors (see below), whose sum is σ = 231980112. Its totient is φ = 24921600.

The previous prime is 78169823. The next prime is 78169843. The reversal of 78169824 is 42896187.

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

It is a super-2 number, since 2×78169824² = 12221042768381952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78169824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78169823) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 724 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (3221946).

Almost surely, 2^78169824 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 78169824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115990056).

78169824 is an abundant number, since it is smaller than the sum of its proper divisors (153810288).

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

78169824 is a wasteful number, since it uses less digits than its factorization.

78169824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840 (or 11829 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 78169824 is about 8841.3700295825. The cubic root of 78169824 is about 427.5757288640.

The spelling of 78169824 in words is "seventy-eight million, one hundred sixty-nine thousand, eight hundred twenty-four".