977122796832 has 288 divisors, whose sum is σ = 3570258384000. Its totient is φ = 257702570496.

The previous prime is 977122796821. The next prime is 977122796891. The reversal of 977122796832 is 238697221779.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 977122796832.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337332 + ... + 1438067.

It is an arithmetic number, because the mean of its divisors is an integer number (12396730500).

Almost surely, 2^977122796832 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 977122796832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785129192000).

977122796832 is an abundant number, since it is smaller than the sum of its proper divisors (2593135587168).

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

977122796832 is a wasteful number, since it uses less digits than its factorization.

977122796832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775445 (or 1775424 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 977122796832 in words is "nine hundred seventy-seven billion, one hundred twenty-two million, seven hundred ninety-six thousand, eight hundred thirty-two".