84777980 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 27067392.

The previous prime is 84777967. The next prime is 84778007. The reversal of 84777980 is 8977748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425921 + ... + 426119.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^84777980 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 84777980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

84777980 is an abundant number, since it is smaller than the sum of its proper divisors (132950020).

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

84777980 is a wasteful number, since it uses less digits than its factorization.

84777980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 50.

The square root of 84777980 is about 9207.4958593529. The cubic root of 84777980 is about 439.2998161216.

The spelling of 84777980 in words is "eighty-four million, seven hundred seventy-seven thousand, nine hundred eighty".