78227975347200 has 1188 divisors, whose sum is σ = 330688878443352. Its totient is φ = 17613633945600.

The previous prime is 78227975347183. The next prime is 78227975347213. The reversal of 78227975347200 is 274357972287.

78227975347200 is a `hidden beast` number, since 7 + 8 + 2 + 2 + 7 + 97 + 534 + 7 + 2 + 0 + 0 = 666.

78227975347200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78227975347200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 756351490 + ... + 756454910.

Almost surely, 2^{78227975347200} is an apocalyptic number.

78227975347200 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 78227975347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165344439221676).

78227975347200 is an abundant number, since it is smaller than the sum of its proper divisors (252460903096152).

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

78227975347200 is a wasteful number, since it uses less digits than its factorization.

78227975347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103538 (or 103505 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 78227975347200 in words is "seventy-eight trillion, two hundred twenty-seven billion, nine hundred seventy-five million, three hundred forty-seven thousand, two hundred".