75690000 has 225 divisors, whose sum is σ = 274141153. Its totient is φ = 19488000.

The previous prime is 75689993. The next prime is 75690023. The reversal of 75690000 is 9657.

The square root of 75690000 is 8700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 56610576 + 19079424 = 7524^2 + 4368^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×75690000² = 11457952200000000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2609986 + ... + 2610014.

Almost surely, 2^75690000 is an apocalyptic number.

75690000 is the 8700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75690000

75690000 is an abundant number, since it is smaller than the sum of its proper divisors (198451153).

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

75690000 is a wasteful number, since it uses less digits than its factorization.

75690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The cubic root of 75690000 is about 423.0056502104.

Adding to 75690000 its reverse (9657), we get a palindrome (75699657).

The spelling of 75690000 in words is "seventy-five million, six hundred ninety thousand".