78966800640 has 1728 divisors, whose sum is σ = 373459403520. Its totient is φ = 15606743040.

The previous prime is 78966800621. The next prime is 78966800651. The reversal of 78966800640 is 4600866987.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374250135 + ... + 374250345.

It is an arithmetic number, because the mean of its divisors is an integer number (216122340).

Almost surely, 2^78966800640 is an apocalyptic number.

78966800640 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 78966800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186729701760).

78966800640 is an abundant number, since it is smaller than the sum of its proper divisors (294492602880).

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

78966800640 is a wasteful number, since it uses less digits than its factorization.

78966800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 78966800640 in words is "seventy-eight billion, nine hundred sixty-six million, eight hundred thousand, six hundred forty".