77131362 has 64 divisors (see below), whose sum is σ = 195047424. Its totient is φ = 19751040.

The previous prime is 77131361. The next prime is 77131403. The reversal of 77131362 is 26313177.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77131361) 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 31 ways as a sum of consecutive naturals, for example, 32583 + ... + 34869.

It is an arithmetic number, because the mean of its divisors is an integer number (3047616).

Almost surely, 2^77131362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77131362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97523712).

77131362 is an abundant number, since it is smaller than the sum of its proper divisors (117916062).

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

77131362 is a wasteful number, since it uses less digits than its factorization.

77131362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383.

The product of its digits is 5292, while the sum is 30.

The square root of 77131362 is about 8782.4462423632. The cubic root of 77131362 is about 425.6738781113.

The spelling of 77131362 in words is "seventy-seven million, one hundred thirty-one thousand, three hundred sixty-two".