75631440 has 80 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 19908096.

The previous prime is 75631403. The next prime is 75631447. The reversal of 75631440 is 4413657.

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

It is a super-2 number, since 2×75631440² = 11440229432947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75631398 and 75631407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75631447) 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, 16966 + ... + 20954.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^75631440 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 75631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

75631440 is an abundant number, since it is smaller than the sum of its proper divisors (161853360).

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

75631440 is a wasteful number, since it uses less digits than its factorization.

75631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75631440 is about 8696.6338315465. The cubic root of 75631440 is about 422.8965314278.

The spelling of 75631440 in words is "seventy-five million, six hundred thirty-one thousand, four hundred forty".