75769440 has 96 divisors (see below), whose sum is σ = 244290816. Its totient is φ = 19729920.

The previous prime is 75769433. The next prime is 75769457. The reversal of 75769440 is 4496757.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75769392 and 75769401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18805 + ... + 22475.

It is an arithmetic number, because the mean of its divisors is an integer number (2544696).

Almost surely, 2^75769440 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 75769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145408).

75769440 is an abundant number, since it is smaller than the sum of its proper divisors (168521376).

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

75769440 is a wasteful number, since it uses less digits than its factorization.

75769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 75769440 is about 8704.5643199416. The cubic root of 75769440 is about 423.1535861753.

The spelling of 75769440 in words is "seventy-five million, seven hundred sixty-nine thousand, four hundred forty".