77149632 has 112 divisors (see below), whose sum is σ = 235549440. Its totient is φ = 21829632.

The previous prime is 77149603. The next prime is 77149649. The reversal of 77149632 is 23694177.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183919 + ... + 184337.

It is an arithmetic number, because the mean of its divisors is an integer number (2103120).

Almost surely, 2^77149632 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 77149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117774720).

77149632 is an abundant number, since it is smaller than the sum of its proper divisors (158399808).

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

77149632 is a wasteful number, since it uses less digits than its factorization.

77149632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 77149632 is about 8783.4863237783. The cubic root of 77149632 is about 425.7074850540.

It can be divided in two parts, 771 and 49632, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 77149632 in words is "seventy-seven million, one hundred forty-nine thousand, six hundred thirty-two".