78342720 has 112 divisors (see below), whose sum is σ = 252130560. Its totient is φ = 20606976.

The previous prime is 78342707. The next prime is 78342721. The reversal of 78342720 is 2724387.

It is a super-2 number, since 2×78342720² = 12275163553996800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (78342721) 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 15 ways as a sum of consecutive naturals, for example, 75324 + ... + 76356.

Almost surely, 2^78342720 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 78342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126065280).

78342720 is an abundant number, since it is smaller than the sum of its proper divisors (173787840).

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

78342720 is a wasteful number, since it uses less digits than its factorization.

78342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 78342720 is about 8851.1422991612. The cubic root of 78342720 is about 427.8907340371.

The spelling of 78342720 in words is "seventy-eight million, three hundred forty-two thousand, seven hundred twenty".