97700760 has 96 divisors (see below), whose sum is σ = 319213440. Its totient is φ = 25915392.

The previous prime is 97700741. The next prime is 97700761. The reversal of 97700760 is 6700779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97700761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79672 + ... + 80888.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2^97700760 is an apocalyptic number.

97700760 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 97700760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

97700760 is an abundant number, since it is smaller than the sum of its proper divisors (221512680).

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

97700760 is a wasteful number, since it uses less digits than its factorization.

97700760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 97700760 is about 9884.3694791322. The cubic root of 97700760 is about 460.5738899000.

The spelling of 97700760 in words is "ninety-seven million, seven hundred thousand, seven hundred sixty".