97761280 has 48 divisors (see below), whose sum is σ = 234594360. Its totient is φ = 39100416.

The previous prime is 97761263. The next prime is 97761281. The reversal of 97761280 is 8216779.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97761281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5467 + ... + 15013.

Almost surely, 2^97761280 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 97761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

97761280 is an abundant number, since it is smaller than the sum of its proper divisors (136833080).

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

97761280 is an equidigital number, since it uses as much as digits as its factorization.

97761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 97761280 is about 9887.4304043063. The cubic root of 97761280 is about 460.6689699463.

The spelling of 97761280 in words is "ninety-seven million, seven hundred sixty-one thousand, two hundred eighty".