78012720 has 120 divisors (see below), whose sum is σ = 271763856. Its totient is φ = 20798208.

The previous prime is 78012719. The next prime is 78012721. The reversal of 78012720 is 2721087.

It is an interprime number because it is at equal distance from previous prime (78012719) and next prime (78012721).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (78012721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17434 + ... + 21446.

Almost surely, 2^78012720 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 78012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135881928).

78012720 is an abundant number, since it is smaller than the sum of its proper divisors (193751136).

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

78012720 is a wasteful number, since it uses less digits than its factorization.

78012720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 78012720 is about 8832.4809651649. The cubic root of 78012720 is about 427.2890926418.

The spelling of 78012720 in words is "seventy-eight million, twelve thousand, seven hundred twenty".