977218880 has 112 divisors (see below), whose sum is σ = 2573999424. Its totient is φ = 350392320.

The previous prime is 977218873. The next prime is 977218889. The reversal of 977218880 is 88812779.

It is a happy number.

977218880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977218889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255059 + ... + 258861.

Almost surely, 2^977218880 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 977218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286999712).

977218880 is an abundant number, since it is smaller than the sum of its proper divisors (1596780544).

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

977218880 is a wasteful number, since it uses less digits than its factorization.

977218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 50.

The square root of 977218880 is about 31260.5003158939. The cubic root of 977218880 is about 992.3478878693.

It can be divided in two parts, 97721 and 8880, that added together give a palindrome (106601).

The spelling of 977218880 in words is "nine hundred seventy-seven million, two hundred eighteen thousand, eight hundred eighty".