75878640 has 80 divisors (see below), whose sum is σ = 261367200. Its totient is φ = 20233728.

The previous prime is 75878603. The next prime is 75878651. The reversal of 75878640 is 4687857.

75878640 is a `hidden beast` number, since 7 + 587 + 8 + 64 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15405 + ... + 19724.

It is an arithmetic number, because the mean of its divisors is an integer number (3267090).

Almost surely, 2^75878640 is an apocalyptic number.

It is an amenable number.

75878640 is an abundant number, since it is smaller than the sum of its proper divisors (185488560).

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

75878640 is a wasteful number, since it uses less digits than its factorization.

75878640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35151 (or 35139 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75878640 is about 8710.8346328007. The cubic root of 75878640 is about 423.3567735934.

The spelling of 75878640 in words is "seventy-five million, eight hundred seventy-eight thousand, six hundred forty".