77075641 has 8 divisors (see below), whose sum is σ = 79769600. Its totient is φ = 74394720.

The previous prime is 77075633. The next prime is 77075657. The reversal of 77075641 is 14657077.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77075641 - 2³ = 77075633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77075641.

It is not an unprimeable number, because it can be changed into a prime (77075681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9640 + ... + 15718.

It is an arithmetic number, because the mean of its divisors is an integer number (9971200).

Almost surely, 2^77075641 is an apocalyptic number.

77075641 is the 5553-rd centered pentagonal number.

It is an amenable number.

77075641 is a deficient number, since it is larger than the sum of its proper divisors (2693959).

77075641 is a wasteful number, since it uses less digits than its factorization.

77075641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519.

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 77075641 is about 8779.2733753996. The cubic root of 77075641 is about 425.5713487488.

The spelling of 77075641 in words is "seventy-seven million, seventy-five thousand, six hundred forty-one".