78747863040 has 1344 divisors, whose sum is σ = 355775172480. Its totient is φ = 16243752960.

The previous prime is 78747863039. The next prime is 78747863069. The reversal of 78747863040 is 4036874787.

78747863040 is a `hidden beast` number, since 78 + 7 + 478 + 63 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574801852 + ... + 574801988.

It is an arithmetic number, because the mean of its divisors is an integer number (264713670).

Almost surely, 2^78747863040 is an apocalyptic number.

78747863040 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 78747863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177887586240).

78747863040 is an abundant number, since it is smaller than the sum of its proper divisors (277027309440).

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

78747863040 is a wasteful number, since it uses less digits than its factorization.

78747863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 78747863040 in words is "seventy-eight billion, seven hundred forty-seven million, eight hundred sixty-three thousand, forty".