78984360 has 192 divisors, whose sum is σ = 316068480. Its totient is φ = 16657920.

The previous prime is 78984337. The next prime is 78984379. The reversal of 78984360 is 6348987.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 31555 + ... + 33965.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 2^78984360 is an apocalyptic number.

78984360 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 78984360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

78984360 is an abundant number, since it is smaller than the sum of its proper divisors (237084120).

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

78984360 is a wasteful number, since it uses less digits than its factorization.

78984360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 78984360 is about 8887.3145550273. The cubic root of 78984360 is about 429.0557249079.

The spelling of 78984360 in words is "seventy-eight million, nine hundred eighty-four thousand, three hundred sixty".