78606601920 has 1344 divisors, whose sum is σ = 369739468800. Its totient is φ = 14822277120.

The previous prime is 78606601897. The next prime is 78606601921. The reversal of 78606601920 is 2910660687.

78606601920 is a `hidden beast` number, since 7 + 8 + 606 + 6 + 0 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78606601921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109327321 + ... + 109328039.

Almost surely, 2^78606601920 is an apocalyptic number.

78606601920 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 78606601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184869734400).

78606601920 is an abundant number, since it is smaller than the sum of its proper divisors (291132866880).

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

78606601920 is a wasteful number, since it uses less digits than its factorization.

78606601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 78606601920 in words is "seventy-eight billion, six hundred six million, six hundred one thousand, nine hundred twenty".