7905397500 has 1080 divisors, whose sum is σ = 34960109184. Its totient is φ = 1516320000.

The previous prime is 7905397483. The next prime is 7905397501. The reversal of 7905397500 is 57935097.

It is a happy number.

7905397500 is a `hidden beast` number, since 7 + 9 + 0 + 53 + 97 + 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 (7905397501) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 608107494 + ... + 608107506.

Almost surely, 2^7905397500 is an apocalyptic number.

7905397500 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 7905397500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480054592).

7905397500 is an abundant number, since it is smaller than the sum of its proper divisors (27054711684).

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

7905397500 is a wasteful number, since it uses less digits than its factorization.

7905397500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 7905397500 is about 88912.3022983884. The cubic root of 7905397500 is about 1992.0851774436.

The spelling of 7905397500 in words is "seven billion, nine hundred five million, three hundred ninety-seven thousand, five hundred".