75983040 has 168 divisors, whose sum is σ = 298764960. Its totient is φ = 17362944.

The previous prime is 75983027. The next prime is 75983087. The reversal of 75983040 is 4038957.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 75982986 and 75983004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18276 + ... + 22044.

Almost surely, 2^75983040 is an apocalyptic number.

75983040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149382480).

75983040 is an abundant number, since it is smaller than the sum of its proper divisors (222781920).

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

75983040 is a wasteful number, since it uses less digits than its factorization.

75983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3786 counting only the distinct ones).

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

The square root of 75983040 is about 8716.8251100960. The cubic root of 75983040 is about 423.5508474990.

The spelling of 75983040 in words is "seventy-five million, nine hundred eighty-three thousand, forty".