75921840 has 80 divisors (see below), whose sum is σ = 261516000. Its totient is φ = 20245248.

The previous prime is 75921823. The next prime is 75921841. The reversal of 75921840 is 4812957.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×75921840⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75921795 and 75921804.

It is not an unprimeable number, because it can be changed into a prime (75921841) 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, 15415 + ... + 19734.

It is an arithmetic number, because the mean of its divisors is an integer number (3268950).

Almost surely, 2^75921840 is an apocalyptic number.

It is an amenable number.

75921840 is an abundant number, since it is smaller than the sum of its proper divisors (185594160).

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

75921840 is a wasteful number, since it uses less digits than its factorization.

75921840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35171 (or 35159 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 75921840 is about 8713.3139505013. The cubic root of 75921840 is about 423.4371016141.

The spelling of 75921840 in words is "seventy-five million, nine hundred twenty-one thousand, eight hundred forty".