77133580 has 48 divisors (see below), whose sum is σ = 170827776. Its totient is φ = 29211840.

The previous prime is 77133557. The next prime is 77133583. The reversal of 77133580 is 8533177.

It is not an unprimeable number, because it can be changed into a prime (77133583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27817 + ... + 30463.

It is an arithmetic number, because the mean of its divisors is an integer number (3558912).

Almost surely, 2^77133580 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 77133580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85413888).

77133580 is an abundant number, since it is smaller than the sum of its proper divisors (93694196).

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

77133580 is a wasteful number, since it uses less digits than its factorization.

77133580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 77133580 is about 8782.5725160684. The cubic root of 77133580 is about 425.6779583176.

The spelling of 77133580 in words is "seventy-seven million, one hundred thirty-three thousand, five hundred eighty".