76540755600 has 675 divisors, whose sum is σ = 289966790113. Its totient is φ = 19335214080.

The previous prime is 76540755593. The next prime is 76540755667. The reversal of 76540755600 is 655704567.

The square root of 76540755600 is 276660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 29822526864 + 46718228736 = 172692^2 + 216144^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1444165174 + ... + 1444165226.

Almost surely, 2^76540755600 is an apocalyptic number.

76540755600 is the 276660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76540755600

76540755600 is an abundant number, since it is smaller than the sum of its proper divisors (213426034513).

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

76540755600 is a wasteful number, since it uses less digits than its factorization.

76540755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 76540755600 in words is "seventy-six billion, five hundred forty million, seven hundred fifty-five thousand, six hundred".