7656906600 has 216 divisors, whose sum is σ = 29913065910. Its totient is φ = 1750129920.

The previous prime is 7656906589. The next prime is 7656906613. The reversal of 7656906600 is 66096567.

It can be written as a sum of positive squares in 3 ways, for example, as 6361338564 + 1295568036 = 79758^2 + 35994^2 .

It is a super-2 number, since 2×7656906600² (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 an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 44794 + ... + 131606.

Almost surely, 2^7656906600 is an apocalyptic number.

7656906600 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 7656906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956532955).

7656906600 is an abundant number, since it is smaller than the sum of its proper divisors (22256159310).

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

7656906600 is a wasteful number, since it uses less digits than its factorization.

7656906600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86849 (or 86830 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7656906600 is about 87503.7519195606. The cubic root of 7656906600 is about 1970.9901315930.

The spelling of 7656906600 in words is "seven billion, six hundred fifty-six million, nine hundred six thousand, six hundred".