7913785500 has 288 divisors, whose sum is σ = 25634568960. Its totient is φ = 2054707200.

The previous prime is 7913785427. The next prime is 7913785501. The reversal of 7913785500 is 55873197.

7913785500 is a `hidden beast` number, since 7 + 9 + 137 + 8 + 5 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7913785501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40171402 + ... + 40171598.

It is an arithmetic number, because the mean of its divisors is an integer number (89008920).

Almost surely, 2^7913785500 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 7913785500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817284480).

7913785500 is an abundant number, since it is smaller than the sum of its proper divisors (17720783460).

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

7913785500 is a wasteful number, since it uses less digits than its factorization.

7913785500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 7913785500 is about 88959.4598679646. The cubic root of 7913785500 is about 1992.7894938744.

The spelling of 7913785500 in words is "seven billion, nine hundred thirteen million, seven hundred eighty-five thousand, five hundred".