78783344640 has 1872 divisors, whose sum is σ = 379321409376. Its totient is φ = 14863564800.

The previous prime is 78783344581. The next prime is 78783344641. The reversal of 78783344640 is 4644338787.

78783344640 is a `hidden beast` number, since 7 + 87 + 83 + 3 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78783344641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1291530210 + ... + 1291530270.

It is an arithmetic number, because the mean of its divisors is an integer number (202628958).

Almost surely, 2^78783344640 is an apocalyptic number.

78783344640 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 78783344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189660704688).

78783344640 is an abundant number, since it is smaller than the sum of its proper divisors (300538064736).

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

78783344640 is a wasteful number, since it uses less digits than its factorization.

78783344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 78783344640 in words is "seventy-eight billion, seven hundred eighty-three million, three hundred forty-four thousand, six hundred forty".