97770602880 has 384 divisors, whose sum is σ = 352864512000. Its totient is φ = 25867745280.

The previous prime is 97770602879. The next prime is 97770602887. The reversal of 97770602880 is 8820607779.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97770602887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20370721 + ... + 20375519.

It is an arithmetic number, because the mean of its divisors is an integer number (918918000).

Almost surely, 2^97770602880 is an apocalyptic number.

97770602880 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 97770602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176432256000).

97770602880 is an abundant number, since it is smaller than the sum of its proper divisors (255093909120).

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

97770602880 is a wasteful number, since it uses less digits than its factorization.

97770602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 97770602880 in words is "ninety-seven billion, seven hundred seventy million, six hundred two thousand, eight hundred eighty".