75804984 has 160 divisors (see below), whose sum is σ = 229996800. Its totient is φ = 23250240.

The previous prime is 75804983. The next prime is 75804997. The reversal of 75804984 is 48940857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75804983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 578599 + ... + 578729.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

Almost surely, 2^75804984 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 75804984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114998400).

75804984 is an abundant number, since it is smaller than the sum of its proper divisors (154191816).

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

75804984 is a wasteful number, since it uses less digits than its factorization.

75804984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 75804984 is about 8706.6057680361. The cubic root of 75804984 is about 423.2197439816.

The spelling of 75804984 in words is "seventy-five million, eight hundred four thousand, nine hundred eighty-four".