78743689920 has 1120 divisors, whose sum is σ = 346531996800. Its totient is φ = 16907304960.

The previous prime is 78743689901. The next prime is 78743689933. The reversal of 78743689920 is 2998634787.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151139260 + ... + 151139780.

Almost surely, 2^78743689920 is an apocalyptic number.

78743689920 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 78743689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173265998400).

78743689920 is an abundant number, since it is smaller than the sum of its proper divisors (267788306880).

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

78743689920 is a wasteful number, since it uses less digits than its factorization.

78743689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 78743689920 in words is "seventy-eight billion, seven hundred forty-three million, six hundred eighty-nine thousand, nine hundred twenty".