84777448 has 48 divisors (see below), whose sum is σ = 192970080. Its totient is φ = 34749792.

The previous prime is 84777431. The next prime is 84777523. The reversal of 84777448 is 84477748.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 4315 + ... + 13717.

It is an arithmetic number, because the mean of its divisors is an integer number (4020210).

Almost surely, 2^84777448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84777448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96485040).

84777448 is an abundant number, since it is smaller than the sum of its proper divisors (108192632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84777448 is a wasteful number, since it uses less digits than its factorization.

84777448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 9435 counting only the distinct ones).

The product of its digits is 1404928, while the sum is 49.

The square root of 84777448 is about 9207.4669698023. The cubic root of 84777448 is about 439.2988972195.

The spelling of 84777448 in words is "eighty-four million, seven hundred seventy-seven thousand, four hundred forty-eight".