78284340 has 96 divisors (see below), whose sum is σ = 252000000. Its totient is φ = 20151936.

The previous prime is 78284333. The next prime is 78284347. The reversal of 78284340 is 4348287.

It is an interprime number because it is at equal distance from previous prime (78284333) and next prime (78284347).

It is a super-2 number, since 2×78284340² = 12256875778471200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78284295 and 78284304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78284347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13161 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (2625000).

Almost surely, 2^78284340 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 78284340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000000).

78284340 is an abundant number, since it is smaller than the sum of its proper divisors (173715660).

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

78284340 is a wasteful number, since it uses less digits than its factorization.

78284340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 78284340 is about 8847.8438051313. The cubic root of 78284340 is about 427.7844213782.

The spelling of 78284340 in words is "seventy-eight million, two hundred eighty-four thousand, three hundred forty".