78058052800 has 336 divisors, whose sum is σ = 237046203072. Its totient is φ = 24636211200.

The previous prime is 78058052791. The next prime is 78058052843. The reversal of 78058052800 is 825085087.

It is a super-3 number, since 3×78058052800³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95076390 + ... + 95077210.

It is an arithmetic number, because the mean of its divisors is an integer number (705494652).

Almost surely, 2^78058052800 is an apocalyptic number.

78058052800 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 78058052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523101536).

78058052800 is an abundant number, since it is smaller than the sum of its proper divisors (158988150272).

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

78058052800 is a wasteful number, since it uses less digits than its factorization.

78058052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 78058052800 in words is "seventy-eight billion, fifty-eight million, fifty-two thousand, eight hundred".