97700400 has 180 divisors, whose sum is σ = 387582832. Its totient is φ = 22325760.

The previous prime is 97700399. The next prime is 97700453. The reversal of 97700400 is 400779.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23262 + ... + 27138.

Almost surely, 2^97700400 is an apocalyptic number.

97700400 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 97700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193791416).

97700400 is an abundant number, since it is smaller than the sum of its proper divisors (289882432).

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

97700400 is a wasteful number, since it uses less digits than its factorization.

97700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 97700400 is about 9884.3512685456. The cubic root of 97700400 is about 460.5733242039.

The spelling of 97700400 in words is "ninety-seven million, seven hundred thousand, four hundred".