480077787 has 32 divisors (see below), whose sum is σ = 749371392. Its totient is φ = 267682464.

The previous prime is 480077777. The next prime is 480077791. The reversal of 480077787 is 787770084.

It is not a de Polignac number, because 480077787 - 2⁸ = 480077531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480077777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495978 + ... + 496944.

It is an arithmetic number, because the mean of its divisors is an integer number (23417856).

Almost surely, 2^480077787 is an apocalyptic number.

480077787 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

480077787 is a deficient number, since it is larger than the sum of its proper divisors (269293605).

480077787 is a wasteful number, since it uses less digits than its factorization.

480077787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527.

The product of its (nonzero) digits is 614656, while the sum is 48.

The square root of 480077787 is about 21910.6774655646. The cubic root of 480077787 is about 783.0158212005.

The spelling of 480077787 in words is "four hundred eighty million, seventy-seven thousand, seven hundred eighty-seven".