78042665376 has 576 divisors, whose sum is σ = 263516198400. Its totient is φ = 22522530816.

The previous prime is 78042665359. The next prime is 78042665381. The reversal of 78042665376 is 67356624087.

78042665376 is a `hidden beast` number, since 7 + 8 + 0 + 4 + 266 + 5 + 376 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343800175 + ... + 343800401.

It is an arithmetic number, because the mean of its divisors is an integer number (457493400).

Almost surely, 2^78042665376 is an apocalyptic number.

78042665376 is a gapful number since it is divisible by the number (76) 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 78042665376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131758099200).

78042665376 is an abundant number, since it is smaller than the sum of its proper divisors (185473533024).

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

78042665376 is a wasteful number, since it uses less digits than its factorization.

78042665376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 78042665376 in words is "seventy-eight billion, forty-two million, six hundred sixty-five thousand, three hundred seventy-six".