78200930304 has 768 divisors, whose sum is σ = 283966824960. Its totient is φ = 21021327360.

The previous prime is 78200930279. The next prime is 78200930321. The reversal of 78200930304 is 40303900287.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×78200930304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281982434 + ... + 1281982494.

It is an arithmetic number, because the mean of its divisors is an integer number (369748470).

Almost surely, 2^78200930304 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 78200930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141983412480).

78200930304 is an abundant number, since it is smaller than the sum of its proper divisors (205765894656).

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

78200930304 is an frugal number, since it uses more digits than its factorization.

78200930304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 78200930304 in words is "seventy-eight billion, two hundred million, nine hundred thirty thousand, three hundred four".