76806240 has 96 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 17554944.

The previous prime is 76806209. The next prime is 76806253. The reversal of 76806240 is 4260867.

76806240 = 1073² + 1074² + ... + 1135².

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

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, 8070 + ... + 14789.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^76806240 is an apocalyptic number.

76806240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76806240 is an abundant number, since it is smaller than the sum of its proper divisors (199708320).

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

76806240 is a wasteful number, since it uses less digits than its factorization.

76806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22884 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76806240 is about 8763.9169325137. The cubic root of 76806240 is about 425.0749394958.

The spelling of 76806240 in words is "seventy-six million, eight hundred six thousand, two hundred forty".