78284160 has 96 divisors (see below), whose sum is σ = 270344880. Its totient is φ = 20874240.

The previous prime is 78284149. The next prime is 78284177. The reversal of 78284160 is 6148287.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78284160² = 12256819413811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1036 + ... + 12555.

Almost surely, 2^78284160 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 78284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135172440).

78284160 is an abundant number, since it is smaller than the sum of its proper divisors (192060720).

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

78284160 is a wasteful number, since it uses less digits than its factorization.

78284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78284160 is about 8847.8336331556. The cubic root of 78284160 is about 427.7840935082.

The spelling of 78284160 in words is "seventy-eight million, two hundred eighty-four thousand, one hundred sixty".