7696540800 has 576 divisors, whose sum is σ = 30149606760. Its totient is φ = 1857945600.

The previous prime is 7696540799. The next prime is 7696540801. The reversal of 7696540800 is 80456967.

It is an interprime number because it is at equal distance from previous prime (7696540799) and next prime (7696540801).

It can be written as a sum of positive squares in 12 ways, for example, as 986965056 + 6709575744 = 31416^2 + 81912^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 (7696540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22838232 + ... + 22838568.

Almost surely, 2^7696540800 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 7696540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074803380).

7696540800 is an abundant number, since it is smaller than the sum of its proper divisors (22453065960).

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

7696540800 is a wasteful number, since it uses less digits than its factorization.

7696540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7696540800 is about 87729.9310383862. The cubic root of 7696540800 is about 1974.3850716036.

The spelling of 7696540800 in words is "seven billion, six hundred ninety-six million, five hundred forty thousand, eight hundred".