78826000 has 80 divisors (see below), whose sum is σ = 207986688. Its totient is φ = 28656000.

The previous prime is 78825961. The next prime is 78826001. The reversal of 78826000 is 62887.

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

It is not an unprimeable number, because it can be changed into a prime (78826001) 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, 20209 + ... + 23791.

Almost surely, 2^78826000 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 78826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

78826000 is an abundant number, since it is smaller than the sum of its proper divisors (129160688).

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

78826000 is a wasteful number, since it uses less digits than its factorization.

78826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 78826000 is about 8878.4007568931. The cubic root of 78826000 is about 428.7687874084.

Adding to 78826000 its reverse (62887), we get a palindrome (78888887).

The spelling of 78826000 in words is "seventy-eight million, eight hundred twenty-six thousand".