78746397408 has 1152 divisors, whose sum is σ = 304331489280. Its totient is φ = 18771886080.

The previous prime is 78746397341. The next prime is 78746397409. The reversal of 78746397408 is 80479364787.

78746397408 is a `hidden beast` number, since 7 + 87 + 4 + 63 + 97 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78746397409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 948751735 + ... + 948751817.

It is an arithmetic number, because the mean of its divisors is an integer number (264176640).

Almost surely, 2^78746397408 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 78746397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152165744640).

78746397408 is an abundant number, since it is smaller than the sum of its proper divisors (225585091872).

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

78746397408 is a wasteful number, since it uses less digits than its factorization.

78746397408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 78746397408 in words is "seventy-eight billion, seven hundred forty-six million, three hundred ninety-seven thousand, four hundred eight".