78892000 has 144 divisors (see below), whose sum is σ = 214368336. Its totient is φ = 28512000.

The previous prime is 78891983. The next prime is 78892039. The reversal of 78892000 is 29887.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483919 + ... + 484081.

It is an arithmetic number, because the mean of its divisors is an integer number (1488669).

Almost surely, 2^78892000 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 78892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107184168).

78892000 is an abundant number, since it is smaller than the sum of its proper divisors (135476336).

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

78892000 is a wasteful number, since it uses less digits than its factorization.

78892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 78892000 is about 8882.1168648020. The cubic root of 78892000 is about 428.8884215629. Note that the first 3 decimals are identical.

It can be divided in two parts, 7889 and 2000, that added together give a palindrome (9889).

The spelling of 78892000 in words is "seventy-eight million, eight hundred ninety-two thousand".