78488280 has 192 divisors, whose sum is σ = 284094720. Its totient is φ = 18662400.

The previous prime is 78488279. The next prime is 78488281. The reversal of 78488280 is 8288487.

It is an interprime number because it is at equal distance from previous prime (78488279) and next prime (78488281).

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 (78488281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144810 + ... + 145350.

It is an arithmetic number, because the mean of its divisors is an integer number (1479660).

Almost surely, 2^78488280 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 78488280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142047360).

78488280 is an abundant number, since it is smaller than the sum of its proper divisors (205606440).

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

78488280 is a wasteful number, since it uses less digits than its factorization.

78488280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 78488280 is about 8859.3611507828. The cubic root of 78488280 is about 428.1555756663.

The spelling of 78488280 in words is "seventy-eight million, four hundred eighty-eight thousand, two hundred eighty".