77457601 has 9 divisors (see below), whose sum is σ = 83998281. Its totient is φ = 71393712.

The previous prime is 77457587. The next prime is 77457659. The reversal of 77457601 is 10675477.

The square root of 77457601 is 8801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7568001 + 69889600 = 2751^2 + 8360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-77457601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77457691) 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 8 ways as a sum of consecutive naturals, for example, 114075 + ... + 114751.

Almost surely, 2^77457601 is an apocalyptic number.

77457601 is the 8801-st square number.

77457601 is the 4401-st centered octagonal number.

It is an amenable number.

77457601 is a deficient number, since it is larger than the sum of its proper divisors (6540680).

77457601 is an frugal number, since it uses more digits than its factorization.

77457601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

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

The cubic root of 77457601 is about 426.2731850720.

The spelling of 77457601 in words is "seventy-seven million, four hundred fifty-seven thousand, six hundred one".