78834500640 has 720 divisors, whose sum is σ = 331285090752. Its totient is φ = 17594164224.

The previous prime is 78834500629. The next prime is 78834500651. The reversal of 78834500640 is 4600543887.

78834500640 is a `hidden beast` number, since 7 + 8 + 83 + 4 + 500 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78834500629) and next prime (78834500651).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27305277 + ... + 27308163.

Almost surely, 2^78834500640 is an apocalyptic number.

78834500640 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 78834500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165642545376).

78834500640 is an abundant number, since it is smaller than the sum of its proper divisors (252450590112).

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

78834500640 is a wasteful number, since it uses less digits than its factorization.

78834500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 78834500640 in words is "seventy-eight billion, eight hundred thirty-four million, five hundred thousand, six hundred forty".