78174720 has 400 divisors, whose sum is σ = 311933160. Its totient is φ = 18579456.

The previous prime is 78174709. The next prime is 78174727. The reversal of 78174720 is 2747187.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 28387584 = 7056^2 + 5328^2 .

It is a super-2 number, since 2×78174720² = 12222573694156800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (78174727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695666 + ... + 2695694.

Almost surely, 2^78174720 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 78174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155966580).

78174720 is an abundant number, since it is smaller than the sum of its proper divisors (233758440).

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

78174720 is a wasteful number, since it uses less digits than its factorization.

78174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 78174720 is about 8841.6469054130. The cubic root of 78174720 is about 427.5846554419.

The spelling of 78174720 in words is "seventy-eight million, one hundred seventy-four thousand, seven hundred twenty".