78964189920 has 432 divisors, whose sum is σ = 341959323888. Its totient is φ = 16407982080.

The previous prime is 78964189907. The next prime is 78964189939. The reversal of 78964189920 is 2998146987.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 725292 + ... + 827028.

It is an arithmetic number, because the mean of its divisors is an integer number (791572509).

Almost surely, 2^78964189920 is an apocalyptic number.

78964189920 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 78964189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170979661944).

78964189920 is an abundant number, since it is smaller than the sum of its proper divisors (262995133968).

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

78964189920 is a wasteful number, since it uses less digits than its factorization.

78964189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101783 (or 101765 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 78964189920 in words is "seventy-eight billion, nine hundred sixty-four million, one hundred eighty-nine thousand, nine hundred twenty".