78131284 has 96 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 29282400.

The previous prime is 78131267. The next prime is 78131323. The reversal of 78131284 is 48213187.

It is a happy number.

It is a super-2 number, since 2×78131284² = 12208995078977312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467769 + ... + 467935.

It is an arithmetic number, because the mean of its divisors is an integer number (1881600).

Almost surely, 2^78131284 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 78131284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

78131284 is an abundant number, since it is smaller than the sum of its proper divisors (102502316).

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

78131284 is a wasteful number, since it uses less digits than its factorization.

78131284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 78131284 is about 8839.1902344050. The cubic root of 78131284 is about 427.5054482166.

Subtracting from 78131284 its sum of digits (34), we obtain a triangular number (78131250 = T₁₂₅₀₀).

The spelling of 78131284 in words is "seventy-eight million, one hundred thirty-one thousand, two hundred eighty-four".