78329034 has 48 divisors (see below), whose sum is σ = 194762880. Its totient is φ = 22286880.

The previous prime is 78329011. The next prime is 78329051. The reversal of 78329034 is 43092387.

78329034 = 400² + 401² + ... + 668².

It is a super-2 number, since 2×78329034² = 12270875134746312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 78329034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32739 + ... + 35049.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2^78329034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78329034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97381440).

78329034 is an abundant number, since it is smaller than the sum of its proper divisors (116433846).

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

78329034 is a wasteful number, since it uses less digits than its factorization.

78329034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 78329034 is about 8850.3691448436. The cubic root of 78329034 is about 427.8658159438.

The spelling of 78329034 in words is "seventy-eight million, three hundred twenty-nine thousand, thirty-four".