91776400 has 45 divisors (see below), whose sum is σ = 220954081. Its totient is φ = 36633920.

The previous prime is 91776397. The next prime is 91776407. The reversal of 91776400 is 467719.

The square root of 91776400 is 9580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33039504 + 58736896 = 5748^2 + 7664^2 .

It is a super-5 number, since 5×91776400⁵ (a number of 41 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91776407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 191361 + ... + 191839.

Almost surely, 2^91776400 is an apocalyptic number.

91776400 is the 9580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91776400

91776400 is an abundant number, since it is smaller than the sum of its proper divisors (129177681).

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

91776400 is an equidigital number, since it uses as much as digits as its factorization.

91776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The cubic root of 91776400 is about 451.0697184760.

The spelling of 91776400 in words is "ninety-one million, seven hundred seventy-six thousand, four hundred".