78471756979200 has 1320 divisors, whose sum is σ = 314565577170768. Its totient is φ = 19214767226880.

The previous prime is 78471756979181. The next prime is 78471756979219. The reversal of 78471756979200 is 297965717487.

78471756979200 is a `hidden beast` number, since 7 + 8 + 47 + 17 + 569 + 7 + 9 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78471756979181) and next prime (78471756979219).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5202654859 + ... + 5202669941.

Almost surely, 2^{78471756979200} 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 78471756979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157282788585384).

78471756979200 is an abundant number, since it is smaller than the sum of its proper divisors (236093820191568).

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

78471756979200 is a wasteful number, since it uses less digits than its factorization.

78471756979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 78471756979200 in words is "seventy-eight trillion, four hundred seventy-one billion, seven hundred fifty-six million, nine hundred seventy-nine thousand, two hundred".