76061600 has 72 divisors (see below), whose sum is σ = 191737728. Its totient is φ = 29433600.

The previous prime is 76061599. The next prime is 76061639. The reversal of 76061600 is 616067.

It is a self number, because there is not a number n which added to its sum of digits gives 76061600.

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, 23267 + ... + 26333.

It is an arithmetic number, because the mean of its divisors is an integer number (2663024).

Almost surely, 2^76061600 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 76061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95868864).

76061600 is an abundant number, since it is smaller than the sum of its proper divisors (115676128).

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

76061600 is a wasteful number, since it uses less digits than its factorization.

76061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 76061600 is about 8721.3301737751. The cubic root of 76061600 is about 423.6967690696.

Adding to 76061600 its reverse (616067), we get a palindrome (76677667).

The spelling of 76061600 in words is "seventy-six million, sixty-one thousand, six hundred".