78905983749120 has 1760 divisors, whose sum is σ = 312568978208256. Its totient is φ = 18875842560000.

The previous prime is 78905983749107. The next prime is 78905983749143. The reversal of 78905983749120 is 2194738950987.

78905983749120 is a `hidden beast` number, since 7 + 8 + 9 + 0 + 59 + 83 + 7 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×78905983749120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 156870742789 + ... + 156870743291.

Almost surely, 2^{78905983749120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78905983749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156284489104128).

78905983749120 is an abundant number, since it is smaller than the sum of its proper divisors (233662994459136).

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

78905983749120 is a wasteful number, since it uses less digits than its factorization.

78905983749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 78905983749120 in words is "seventy-eight trillion, nine hundred five billion, nine hundred eighty-three million, seven hundred forty-nine thousand, one hundred twenty".