78397381236960 has 480 divisors, whose sum is σ = 291277806019200. Its totient is φ = 19803042155520.

The previous prime is 78397381236959. The next prime is 78397381236961. The reversal of 78397381236960 is 6963218379387.

78397381236960 is a `hidden beast` number, since 7 + 8 + 3 + 9 + 7 + 381 + 236 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78397381236959) and next prime (78397381236961).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78397381236960² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78397381236961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2445393411 + ... + 2445425469.

It is an arithmetic number, because the mean of its divisors is an integer number (606828762540).

Almost surely, 2^{78397381236960} 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 78397381236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145638903009600).

78397381236960 is an abundant number, since it is smaller than the sum of its proper divisors (212880424782240).

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

78397381236960 is a wasteful number, since it uses less digits than its factorization.

78397381236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42036 (or 42019 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 78397381236960 in words is "seventy-eight trillion, three hundred ninety-seven billion, three hundred eighty-one million, two hundred thirty-six thousand, nine hundred sixty".