78186245760 has 1024 divisors, whose sum is σ = 338411520000. Its totient is φ = 16675061760.

The previous prime is 78186245743. The next prime is 78186245807. The reversal of 78186245760 is 6754268187.

78186245760 is a `hidden beast` number, since 7 + 8 + 1 + 8 + 62 + 4 + 576 + 0 = 666.

It is a super-2 number, since 2×78186245760² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78186245697 and 78186245706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108742681 + ... + 108743399.

It is an arithmetic number, because the mean of its divisors is an integer number (330480000).

Almost surely, 2^78186245760 is an apocalyptic number.

78186245760 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 78186245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169205760000).

78186245760 is an abundant number, since it is smaller than the sum of its proper divisors (260225274240).

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

78186245760 is a wasteful number, since it uses less digits than its factorization.

78186245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 78186245760 in words is "seventy-eight billion, one hundred eighty-six million, two hundred forty-five thousand, seven hundred sixty".