977211144 has 384 divisors, whose sum is σ = 3485664000. Its totient is φ = 240371712.

The previous prime is 977211139. The next prime is 977211197. The reversal of 977211144 is 441112779.

977211144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 977211099 and 977211108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7030227 + ... + 7030365.

It is an arithmetic number, because the mean of its divisors is an integer number (9077250).

Almost surely, 2^977211144 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 977211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832000).

977211144 is an abundant number, since it is smaller than the sum of its proper divisors (2508452856).

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

977211144 is a wasteful number, since it uses less digits than its factorization.

977211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 977211144 is about 31260.3765812250. The cubic root of 977211144 is about 992.3452692736.

The spelling of 977211144 in words is "nine hundred seventy-seven million, two hundred eleven thousand, one hundred forty-four".