78886573920 has 1440 divisors, whose sum is σ = 369410823936. Its totient is φ = 15647385600.

The previous prime is 78886573907. The next prime is 78886573937. The reversal of 78886573920 is 2937568887.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 160664875 + ... + 160665365.

Almost surely, 2^78886573920 is an apocalyptic number.

78886573920 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 78886573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184705411968).

78886573920 is an abundant number, since it is smaller than the sum of its proper divisors (290524250016).

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

78886573920 is a wasteful number, since it uses less digits than its factorization.

78886573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78886573920 in words is "seventy-eight billion, eight hundred eighty-six million, five hundred seventy-three thousand, nine hundred twenty".