77506145 has 8 divisors (see below), whose sum is σ = 98478504. Its totient is φ = 58357504.

The previous prime is 77506133. The next prime is 77506153. The reversal of 77506145 is 54160577.

It can be written as a sum of positive squares in 4 ways, for example, as 36084049 + 41422096 = 6007^2 + 6436^2 .

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 77506145 - 2⁴ = 77506129 is a prime.

It is a super-2 number, since 2×77506145² = 12014405025522050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 455834 + ... + 456003.

It is an arithmetic number, because the mean of its divisors is an integer number (12309813).

Almost surely, 2^77506145 is an apocalyptic number.

It is an amenable number.

77506145 is a deficient number, since it is larger than the sum of its proper divisors (20972359).

77506145 is a wasteful number, since it uses less digits than its factorization.

77506145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911859.

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 77506145 is about 8803.7574364586. The cubic root of 77506145 is about 426.3622173677.

The spelling of 77506145 in words is "seventy-seven million, five hundred six thousand, one hundred forty-five".