977122440 has 224 divisors, whose sum is σ = 3767964480. Its totient is φ = 223295616.

The previous prime is 977122429. The next prime is 977122441. The reversal of 977122440 is 44221779.

977122440 is a `hidden beast` number, since 97 + 7 + 122 + 440 = 666.

977122440 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 junction number, because it is equal to n+sod(n) for n = 977122395 and 977122404.

It is not an unprimeable number, because it can be changed into a prime (977122441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 201727 + ... + 206513.

It is an arithmetic number, because the mean of its divisors is an integer number (16821270).

Almost surely, 2^977122440 is an apocalyptic number.

977122440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883982240).

977122440 is an abundant number, since it is smaller than the sum of its proper divisors (2790842040).

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

977122440 is a wasteful number, since it uses less digits than its factorization.

977122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 977122440 is about 31258.9577561377. The cubic root of 977122440 is about 992.3152424437.

The spelling of 977122440 in words is "nine hundred seventy-seven million, one hundred twenty-two thousand, four hundred forty".