75916840 has 32 divisors (see below), whose sum is σ = 171227880. Its totient is φ = 30292992.

The previous prime is 75916823. The next prime is 75916843. The reversal of 75916840 is 4861957.

It can be written as a sum of positive squares in 4 ways, for example, as 51926436 + 23990404 = 7206^2 + 4898^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 75916793 and 75916802.

It is not an unprimeable number, because it can be changed into a prime (75916843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16204 + ... + 20356.

Almost surely, 2^75916840 is an apocalyptic number.

It is an amenable number.

75916840 is an abundant number, since it is smaller than the sum of its proper divisors (95311040).

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

75916840 is a wasteful number, since it uses less digits than its factorization.

75916840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 75916840 is about 8713.0270285361. The cubic root of 75916840 is about 423.4278059490.

The spelling of 75916840 in words is "seventy-five million, nine hundred sixteen thousand, eight hundred forty".