77416761 has 16 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 50698128.

The previous prime is 77416721. The next prime is 77416763. The reversal of 77416761 is 16761477.

It is not a de Polignac number, because 77416761 - 2¹⁵ = 77383993 is a prime.

It is a super-2 number, since 2×77416761² = 11986709767462242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77416763) 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 15 ways as a sum of consecutive naturals, for example, 53080 + ... + 54518.

It is an arithmetic number, because the mean of its divisors is an integer number (6566400).

Almost surely, 2^77416761 is an apocalyptic number.

It is an amenable number.

77416761 is a deficient number, since it is larger than the sum of its proper divisors (27645639).

77416761 is a wasteful number, since it uses less digits than its factorization.

77416761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its digits is 49392, while the sum is 39.

The square root of 77416761 is about 8798.6795031982. The cubic root of 77416761 is about 426.1982535085.

The spelling of 77416761 in words is "seventy-seven million, four hundred sixteen thousand, seven hundred sixty-one".