13078076000 has 192 divisors, whose sum is σ = 36580916736. Its totient is φ = 4548544000.

The previous prime is 13078075961. The next prime is 13078076009. The reversal of 13078076000 is 67087031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13078076009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005539 + ... + 1018461.

It is an arithmetic number, because the mean of its divisors is an integer number (190525608).

Almost surely, 2^13078076000 is an apocalyptic number.

13078076000 is a gapful number since it is divisible by the number (10) 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 13078076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18290458368).

13078076000 is an abundant number, since it is smaller than the sum of its proper divisors (23502840736).

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

13078076000 is a wasteful number, since it uses less digits than its factorization.

13078076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 13078076000 in words is "thirteen billion, seventy-eight million, seventy-six thousand".