77444045 has 32 divisors (see below), whose sum is σ = 110647296. Its totient is φ = 50918400.

The previous prime is 77444041. The next prime is 77444053. The reversal of 77444045 is 54044477.

77444045 = 95² + 96² + ... + 615².

It is not a de Polignac number, because 77444045 - 2² = 77444041 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77443996 and 77444014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77444041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148385 + ... + 148905.

It is an arithmetic number, because the mean of its divisors is an integer number (3457728).

Almost surely, 2^77444045 is an apocalyptic number.

It is an amenable number.

77444045 is a deficient number, since it is larger than the sum of its proper divisors (33203251).

77444045 is a wasteful number, since it uses less digits than its factorization.

77444045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 62720, while the sum is 35.

The square root of 77444045 is about 8800.2298265443. The cubic root of 77444045 is about 426.2483159980.

The spelling of 77444045 in words is "seventy-seven million, four hundred forty-four thousand, forty-five".