77541772 has 48 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 30067200.

The previous prime is 77541767. The next prime is 77541817. The reversal of 77541772 is 27714577.

It is an unprimeable number.

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, 83004 + ... + 83932.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^77541772 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 77541772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

77541772 is an abundant number, since it is smaller than the sum of its proper divisors (92447348).

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

77541772 is a wasteful number, since it uses less digits than its factorization.

77541772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its digits is 96040, while the sum is 40.

The square root of 77541772 is about 8805.7806014004. The cubic root of 77541772 is about 426.4275355429.

The spelling of 77541772 in words is "seventy-seven million, five hundred forty-one thousand, seven hundred seventy-two".