78284352 has 56 divisors (see below), whose sum is σ = 208007712. Its totient is φ = 25984000.

The previous prime is 78284347. The next prime is 78284357. The reversal of 78284352 is 25348287.

It is an interprime number because it is at equal distance from previous prime (78284347) and next prime (78284357).

It is a super-2 number, since 2×78284352² = 12256879536119808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78284352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78284357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53227 + ... + 54677.

Almost surely, 2^78284352 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 78284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104003856).

78284352 is an abundant number, since it is smaller than the sum of its proper divisors (129723360).

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

78284352 is a wasteful number, since it uses less digits than its factorization.

78284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1737 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 78284352 is about 8847.8444832626. The cubic root of 78284352 is about 427.7844432362.

The spelling of 78284352 in words is "seventy-eight million, two hundred eighty-four thousand, three hundred fifty-two".