78305073600 has 672 divisors, whose sum is σ = 296351407296. Its totient is φ = 17930649600.

The previous prime is 78305073571. The next prime is 78305073601. The reversal of 78305073600 is 637050387.

It is a super-2 number, since 2×78305073600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78305073601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102897220 + ... + 102897980.

It is an arithmetic number, because the mean of its divisors is an integer number (440999118).

Almost surely, 2^78305073600 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 78305073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148175703648).

78305073600 is an abundant number, since it is smaller than the sum of its proper divisors (218046333696).

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

78305073600 is a wasteful number, since it uses less digits than its factorization.

78305073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 78305073600 in words is "seventy-eight billion, three hundred five million, seventy-three thousand, six hundred".