78659280 has 120 divisors (see below), whose sum is σ = 301921152. Its totient is φ = 17978112.

The previous prime is 78659263. The next prime is 78659291. The reversal of 78659280 is 8295687.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764 + ... + 12843.

Almost surely, 2^78659280 is an apocalyptic number.

78659280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78659280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150960576).

78659280 is an abundant number, since it is smaller than the sum of its proper divisors (223261872).

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

78659280 is a wasteful number, since it uses less digits than its factorization.

78659280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15633 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 78659280 is about 8869.0067087583. The cubic root of 78659280 is about 428.4662865884.

The spelling of 78659280 in words is "seventy-eight million, six hundred fifty-nine thousand, two hundred eighty".