78156000 has 288 divisors, whose sum is σ = 300500928. Its totient is φ = 19123200.

The previous prime is 78155999. The next prime is 78156031. The reversal of 78156000 is 65187.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78156000² = 12216720672000000, 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 47 ways as a sum of consecutive naturals, for example, 467917 + ... + 468083.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 2^78156000 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 78156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464).

78156000 is an abundant number, since it is smaller than the sum of its proper divisors (222344928).

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

78156000 is a wasteful number, since it uses less digits than its factorization.

78156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78156000 is about 8840.5882157241. The cubic root of 78156000 is about 427.5505223967.

The spelling of 78156000 in words is "seventy-eight million, one hundred fifty-six thousand".