76633540 has 24 divisors (see below), whose sum is σ = 162411480. Its totient is φ = 30371328.

The previous prime is 76633511. The next prime is 76633541. The reversal of 76633540 is 4533667.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 76317696 = 562^2 + 8736^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76633496 and 76633505.

It is not an unprimeable number, because it can be changed into a prime (76633541) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15397 + ... + 19756.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2^76633540 is an apocalyptic number.

It is an amenable number.

76633540 is an abundant number, since it is smaller than the sum of its proper divisors (85777940).

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

76633540 is a wasteful number, since it uses less digits than its factorization.

76633540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35271 (or 35269 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 76633540 is about 8754.0584873532. The cubic root of 76633540 is about 424.7561045835.

It can be divided in two parts, 76 and 633540, that added together give a square (633616 = 796²).

The spelling of 76633540 in words is "seventy-six million, six hundred thirty-three thousand, five hundred forty".