76278240 has 96 divisors (see below), whose sum is σ = 266988960. Its totient is φ = 20339712.

The previous prime is 76278233. The next prime is 76278253. The reversal of 76278240 is 4287267.

76278240 is a `hidden beast` number, since 7 + 627 + 8 + 24 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 76278195 and 76278204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4509 + ... + 13148.

It is an arithmetic number, because the mean of its divisors is an integer number (2781135).

Almost surely, 2^76278240 is an apocalyptic number.

It is an amenable number.

76278240 is an abundant number, since it is smaller than the sum of its proper divisors (190710720).

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

76278240 is a wasteful number, since it uses less digits than its factorization.

76278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76278240 is about 8733.7414662904. The cubic root of 76278240 is about 424.0986479854.

The spelling of 76278240 in words is "seventy-six million, two hundred seventy-eight thousand, two hundred forty".