7985528100 has 216 divisors, whose sum is σ = 28219131360. Its totient is φ = 1935806400.

The previous prime is 7985528087. The next prime is 7985528101. The reversal of 7985528100 is 18255897.

It is a happy number.

7985528100 is a `hidden beast` number, since 7 + 98 + 552 + 8 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×7985528100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7985528101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314479 + ... + 338921.

Almost surely, 2^7985528100 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 7985528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14109565680).

7985528100 is an abundant number, since it is smaller than the sum of its proper divisors (20233603260).

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

7985528100 is a wasteful number, since it uses less digits than its factorization.

7985528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24488 (or 24464 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 7985528100 is about 89361.7820995083. The cubic root of 7985528100 is about 1998.7932803937.

The spelling of 7985528100 in words is "seven billion, nine hundred eighty-five million, five hundred twenty-eight thousand, one hundred".