75803904 has 144 divisors (see below), whose sum is σ = 244789440. Its totient is φ = 22947840.

The previous prime is 75803891. The next prime is 75803909. The reversal of 75803904 is 40930857.

It is a tau number, because it is divible by the number of its divisors (144).

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 (75803909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75534 + ... + 76530.

Almost surely, 2^75803904 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 75803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122394720).

75803904 is an abundant number, since it is smaller than the sum of its proper divisors (168985536).

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

75803904 is a wasteful number, since it uses less digits than its factorization.

75803904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75803904 is about 8706.5437459419. The cubic root of 75803904 is about 423.2177340896.

The spelling of 75803904 in words is "seventy-five million, eight hundred three thousand, nine hundred four".