76675770400 has 72 divisors (see below), whose sum is σ = 187302269700. Its totient is φ = 30651048960.

The previous prime is 76675770389. The next prime is 76675770449. The reversal of 76675770400 is 407757667.

It can be written as a sum of positive squares in 6 ways, for example, as 5943176464 + 70732593936 = 77092^2 + 265956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1280326 + ... + 1338874.

Almost surely, 2^76675770400 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 76675770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93651134850).

76675770400 is an abundant number, since it is smaller than the sum of its proper divisors (110626499300).

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

76675770400 is a wasteful number, since it uses less digits than its factorization.

76675770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60206 (or 60193 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 49.

The spelling of 76675770400 in words is "seventy-six billion, six hundred seventy-five million, seven hundred seventy thousand, four hundred".