77344632 has 40 divisors (see below), whose sum is σ = 216638400. Its totient is φ = 25781328.

The previous prime is 77344601. The next prime is 77344633. The reversal of 77344632 is 23644377.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77344633) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 59032 + ... + 60327.

It is an arithmetic number, because the mean of its divisors is an integer number (5415960).

Almost surely, 2^77344632 is an apocalyptic number.

77344632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77344632 is an abundant number, since it is smaller than the sum of its proper divisors (139293768).

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

77344632 is a wasteful number, since it uses less digits than its factorization.

77344632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119377 (or 119364 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 77344632 is about 8794.5796943345. The cubic root of 77344632 is about 426.0658497690.

The spelling of 77344632 in words is "seventy-seven million, three hundred forty-four thousand, six hundred thirty-two".