78135000 has 80 divisors (see below), whose sum is σ = 244140600. Its totient is φ = 20832000.

The previous prime is 78134993. The next prime is 78135017. The reversal of 78135000 is 53187.

It is a super-2 number, since 2×78135000² = 12210156450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 12396 + ... + 17604.

Almost surely, 2^78135000 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 78135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122070300).

78135000 is an abundant number, since it is smaller than the sum of its proper divisors (166005600).

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

78135000 is a wasteful number, since it uses less digits than its factorization.

78135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 78135000 is about 8839.4004321560. The cubic root of 78135000 is about 427.5122256344.

Adding to 78135000 its reverse (53187), we get a palindrome (78188187).

The spelling of 78135000 in words is "seventy-eight million, one hundred thirty-five thousand".