78335873120 has 96 divisors (see below), whose sum is σ = 190179819648. Its totient is φ = 30469920768.

The previous prime is 78335873107. The next prime is 78335873159. The reversal of 78335873120 is 2137853387.

It is a super-2 number, since 2×78335873120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15845369 + ... + 15850311.

It is an arithmetic number, because the mean of its divisors is an integer number (1981039788).

Almost surely, 2^78335873120 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 78335873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089909824).

78335873120 is an abundant number, since it is smaller than the sum of its proper divisors (111843946528).

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

78335873120 is a wasteful number, since it uses less digits than its factorization.

78335873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 78335873120 in words is "seventy-eight billion, three hundred thirty-five million, eight hundred seventy-three thousand, one hundred twenty".