78056271820800 has 5040 divisors, whose sum is σ = 369986449898520. Its totient is φ = 16223209390080.

The previous prime is 78056271820789. The next prime is 78056271820889. The reversal of 78056271820800 is 802817265087.

78056271820800 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 627 + 1 + 8 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×78056271820800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 1165018982367 + ... + 1165018982433.

Almost surely, 2^{78056271820800} is an apocalyptic number.

78056271820800 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 78056271820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184993224949260).

78056271820800 is an abundant number, since it is smaller than the sum of its proper divisors (291930178077720).

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

78056271820800 is an frugal number, since it uses more digits than its factorization.

78056271820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 78056271820800 in words is "seventy-eight trillion, fifty-six billion, two hundred seventy-one million, eight hundred twenty thousand, eight hundred".