78583757091840 has 7040 divisors, whose sum is σ = 409376439521280. Its totient is φ = 13931406950400.

The previous prime is 78583757091767. The next prime is 78583757091863. The reversal of 78583757091840 is 4819075738587.

It is a happy number.

78583757091840 is a `hidden beast` number, since 7 + 8 + 5 + 8 + 3 + 7 + 570 + 9 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1916677002220 + ... + 1916677002260.

It is an arithmetic number, because the mean of its divisors is an integer number (58150062432).

Almost surely, 2^{78583757091840} is an apocalyptic number.

78583757091840 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 78583757091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204688219760640).

78583757091840 is an abundant number, since it is smaller than the sum of its proper divisors (330792682429440).

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

78583757091840 is a wasteful number, since it uses less digits than its factorization.

78583757091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 72.

The spelling of 78583757091840 in words is "seventy-eight trillion, five hundred eighty-three billion, seven hundred fifty-seven million, ninety-one thousand, eight hundred forty".