477120077 has 32 divisors (see below), whose sum is σ = 591790080. Its totient is φ = 375580800.

The previous prime is 477120053. The next prime is 477120089. The reversal of 477120077 is 770021774.

It is not a de Polignac number, because 477120077 - 2⁸ = 477119821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477120037) 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 31 ways as a sum of consecutive naturals, for example, 793577 + ... + 794177.

It is an arithmetic number, because the mean of its divisors is an integer number (18493440).

Almost surely, 2^477120077 is an apocalyptic number.

477120077 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

477120077 is a deficient number, since it is larger than the sum of its proper divisors (114670003).

477120077 is a wasteful number, since it uses less digits than its factorization.

477120077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 19208, while the sum is 35.

The square root of 477120077 is about 21843.0784689338. The cubic root of 477120077 is about 781.4044808372.

The spelling of 477120077 in words is "four hundred seventy-seven million, one hundred twenty thousand, seventy-seven".