78813000 has 320 divisors, whose sum is σ = 317116800. Its totient is φ = 17884800.

The previous prime is 78812999. The next prime is 78813001. The reversal of 78813000 is 31887.

It is an interprime number because it is at equal distance from previous prime (78812999) and next prime (78813001).

It is a super-2 number, since 2×78813000² = 12422977938000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78813001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566931 + ... + 567069.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 2^78813000 is an apocalyptic number.

78813000 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 78813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

78813000 is an abundant number, since it is smaller than the sum of its proper divisors (238303800).

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

78813000 is a wasteful number, since it uses less digits than its factorization.

78813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 78813000 is about 8877.6686128735. The cubic root of 78813000 is about 428.7452152339.

Adding to 78813000 its reverse (31887), we get a palindrome (78844887).

The spelling of 78813000 in words is "seventy-eight million, eight hundred thirteen thousand".