76153680 has 60 divisors (see below), whose sum is σ = 255751860. Its totient is φ = 20307456.

The previous prime is 76153663. The next prime is 76153717. The reversal of 76153680 is 8635167.

76153680 is a `hidden beast` number, since 7 + 615 + 36 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 17539344 = 7656^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×76153680³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52165 + ... + 53604.

It is an arithmetic number, because the mean of its divisors is an integer number (4262531).

Almost surely, 2^76153680 is an apocalyptic number.

It is an amenable number.

76153680 is an abundant number, since it is smaller than the sum of its proper divisors (179598180).

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

76153680 is a wasteful number, since it uses less digits than its factorization.

76153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105788 (or 105779 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76153680 is about 8726.6075882900. The cubic root of 76153680 is about 423.8676755702.

The spelling of 76153680 in words is "seventy-six million, one hundred fifty-three thousand, six hundred eighty".