76545540 has 96 divisors (see below), whose sum is σ = 239568000. Its totient is φ = 20290176.

The previous prime is 76545533. The next prime is 76545551. The reversal of 76545540 is 4554567.

It is a happy number.

76545540 is a `hidden beast` number, since 76 + 5 + 45 + 540 = 666.

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 = 76545495 and 76545504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123351 + ... + 123969.

It is an arithmetic number, because the mean of its divisors is an integer number (2495500).

Almost surely, 2^76545540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119784000).

76545540 is an abundant number, since it is smaller than the sum of its proper divisors (163022460).

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

76545540 is a wasteful number, since it uses less digits than its factorization.

76545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 76545540 is about 8749.0308034662. The cubic root of 76545540 is about 424.5934566799.

The spelling of 76545540 in words is "seventy-six million, five hundred forty-five thousand, five hundred forty".