76546640 has 40 divisors (see below), whose sum is σ = 178682760. Its totient is φ = 30496256.

The previous prime is 76546637. The next prime is 76546651. The reversal of 76546640 is 4664567.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 74718736 = 1352^2 + 8644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 76546594 and 76546603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19742 + ... + 23298.

It is an arithmetic number, because the mean of its divisors is an integer number (4467069).

Almost surely, 2^76546640 is an apocalyptic number.

It is an amenable number.

76546640 is an abundant number, since it is smaller than the sum of its proper divisors (102136120).

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

76546640 is a wasteful number, since it uses less digits than its factorization.

76546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 76546640 is about 8749.0936673463. The cubic root of 76546640 is about 424.5954905479.

The spelling of 76546640 in words is "seventy-six million, five hundred forty-six thousand, six hundred forty".