977416319880 has 1536 divisors, whose sum is σ = 4658358988800. Its totient is φ = 176405299200.

The previous prime is 977416319879. The next prime is 977416319881. The reversal of 977416319880 is 88913614779.

It is an interprime number because it is at equal distance from previous prime (977416319879) and next prime (977416319881).

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

It is not an unprimeable number, because it can be changed into a prime (977416319881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 238916635 + ... + 238920725.

It is an arithmetic number, because the mean of its divisors is an integer number (3032785800).

Almost surely, 2^977416319880 is an apocalyptic number.

977416319880 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 977416319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329179494400).

977416319880 is an abundant number, since it is smaller than the sum of its proper divisors (3680942668920).

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

977416319880 is a wasteful number, since it uses less digits than its factorization.

977416319880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 977416319880 in words is "nine hundred seventy-seven billion, four hundred sixteen million, three hundred nineteen thousand, eight hundred eighty".