75949600 has 72 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 30117120.

The previous prime is 75949571. The next prime is 75949609. The reversal of 75949600 is 694957.

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

It is not an unprimeable number, because it can be changed into a prime (75949609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110859 + ... + 111541.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^75949600 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 75949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

75949600 is an abundant number, since it is smaller than the sum of its proper divisors (111069680).

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

75949600 is a wasteful number, since it uses less digits than its factorization.

75949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 75949600 is about 8714.9067694382. The cubic root of 75949600 is about 423.4887037248.

The spelling of 75949600 in words is "seventy-five million, nine hundred forty-nine thousand, six hundred".