78806880 has 72 divisors (see below), whose sum is σ = 268933392. Its totient is φ = 21014784.

The previous prime is 78806873. The next prime is 78806887. The reversal of 78806880 is 8860887.

It is an interprime number because it is at equal distance from previous prime (78806873) and next prime (78806887).

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

It is a super-3 number, since 3×78806880³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78806887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25924 + ... + 28803.

It is an arithmetic number, because the mean of its divisors is an integer number (3735186).

Almost surely, 2^78806880 is an apocalyptic number.

It is an amenable number.

78806880 is an abundant number, since it is smaller than the sum of its proper divisors (190126512).

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

78806880 is a wasteful number, since it uses less digits than its factorization.

78806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54748 (or 54737 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 78806880 is about 8877.3239210924. The cubic root of 78806880 is about 428.7341172820.

The spelling of 78806880 in words is "seventy-eight million, eight hundred six thousand, eight hundred eighty".