7656400500 has 384 divisors, whose sum is σ = 27474370560. Its totient is φ = 1616947200.

The previous prime is 7656400481. The next prime is 7656400501. The reversal of 7656400500 is 50046567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7656400501) 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 127 ways as a sum of consecutive naturals, for example, 10531137 + ... + 10531863.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 2^7656400500 is an apocalyptic number.

7656400500 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 7656400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737185280).

7656400500 is an abundant number, since it is smaller than the sum of its proper divisors (19817970060).

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

7656400500 is a wasteful number, since it uses less digits than its factorization.

7656400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 7656400500 is about 87500.8599957738. The cubic root of 7656400500 is about 1970.9467050007.

It can be divided in two parts, 7656 and 400500, that added together give a triangular number (408156 = T₉₀₃).

The spelling of 7656400500 in words is "seven billion, six hundred fifty-six million, four hundred thousand, five hundred".