78643200000 has 288 divisors, whose sum is σ = 262127207160. Its totient is φ = 20971520000.

The previous prime is 78643199993. The next prime is 78643200011. The reversal of 78643200000 is 234687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15728639998 + ... + 15728640002.

Almost surely, 2^78643200000 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 78643200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131063603580).

78643200000 is an abundant number, since it is smaller than the sum of its proper divisors (183484007160).

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

78643200000 is an frugal number, since it uses more digits than its factorization.

78643200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Multiplying 78643200000 by its sum of digits (30), we get a square (2359296000000 = 1536000²).

78643200000 divided by its sum of digits (30) gives a square (2621440000 = 51200²).

Adding to 78643200000 its reverse (234687), we get a palindrome (78643434687).

The spelling of 78643200000 in words is "seventy-eight billion, six hundred forty-three million, two hundred thousand".