78287880 has 128 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 18789120.

The previous prime is 78287879. The next prime is 78287887. The reversal of 78287880 is 8878287.

It is a super-2 number, since 2×78287880² = 12257984309788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78287887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167407 + ... + 167873.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 2^78287880 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 78287880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129392640).

78287880 is an abundant number, since it is smaller than the sum of its proper divisors (180497400).

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

78287880 is a wasteful number, since it uses less digits than its factorization.

78287880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The square root of 78287880 is about 8848.0438516092. The cubic root of 78287880 is about 427.7908693856.

The spelling of 78287880 in words is "seventy-eight million, two hundred eighty-seven thousand, eight hundred eighty".