77632641 has 16 divisors (see below), whose sum is σ = 115147200. Its totient is φ = 51693984.

The previous prime is 77632637. The next prime is 77632657. The reversal of 77632641 is 14623677.

77632641 is a `hidden beast` number, since 7 + 7 + 6 + 3 + 2 + 641 = 666.

It is not a de Polignac number, because 77632641 - 2² = 77632637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77632596 and 77632605.

It is not an unprimeable number, because it can be changed into a prime (77632601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42550 + ... + 44336.

It is an arithmetic number, because the mean of its divisors is an integer number (7196700).

Almost surely, 2^77632641 is an apocalyptic number.

It is an amenable number.

77632641 is a deficient number, since it is larger than the sum of its proper divisors (37514559).

77632641 is a wasteful number, since it uses less digits than its factorization.

77632641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3399 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77632641 is about 8810.9387127593. The cubic root of 77632641 is about 426.5940432899.

It can be divided in two parts, 7763 and 2641, that added together give a square (10404 = 102²).

The spelling of 77632641 in words is "seventy-seven million, six hundred thirty-two thousand, six hundred forty-one".