78909012000 has 2304 divisors, whose sum is σ = 381471068160. Its totient is φ = 15676416000.

The previous prime is 78909011959. The next prime is 78909012041. The reversal of 78909012000 is 21090987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78909011959) and next prime (78909012041).

It is a super-2 number, since 2×78909012000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2132675982 + ... + 2132676018.

It is an arithmetic number, because the mean of its divisors is an integer number (165569040).

Almost surely, 2^78909012000 is an apocalyptic number.

78909012000 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 78909012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190735534080).

78909012000 is an abundant number, since it is smaller than the sum of its proper divisors (302562056160).

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

78909012000 is a wasteful number, since it uses less digits than its factorization.

78909012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 78909012000 in words is "seventy-eight billion, nine hundred nine million, twelve thousand".