77180832 has 72 divisors (see below), whose sum is σ = 227075940. Its totient is φ = 24837120.

The previous prime is 77180813. The next prime is 77180839. The reversal of 77180832 is 23808177.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 9217296 = 8244^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77180839) 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 11 ways as a sum of consecutive naturals, for example, 3732 + ... + 12972.

Almost surely, 2^77180832 is an apocalyptic number.

77180832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113537970).

77180832 is an abundant number, since it is smaller than the sum of its proper divisors (149895108).

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

77180832 is a wasteful number, since it uses less digits than its factorization.

77180832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77180832 is about 8785.2622043966. The cubic root of 77180832 is about 425.7648639558.

The spelling of 77180832 in words is "seventy-seven million, one hundred eighty thousand, eight hundred thirty-two".