78134000 has 80 divisors (see below), whose sum is σ = 215956416. Its totient is φ = 26784000.

The previous prime is 78133931. The next prime is 78134003. The reversal of 78134000 is 43187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78134000² = 12209843912000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78134003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11210 + ... + 16790.

Almost surely, 2^78134000 is an apocalyptic number.

78134000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107978208).

78134000 is an abundant number, since it is smaller than the sum of its proper divisors (137822416).

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

78134000 is a wasteful number, since it uses less digits than its factorization.

78134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 78134000 is about 8839.3438670526. The cubic root of 78134000 is about 427.5104018079.

Adding to 78134000 its reverse (43187), we get a palindrome (78177187).

The spelling of 78134000 in words is "seventy-eight million, one hundred thirty-four thousand".