76000540 has 96 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 22287360.

The previous prime is 76000501. The next prime is 76000549. The reversal of 76000540 is 4500067.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76000549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24729 + ... + 27631.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^76000540 is an apocalyptic number.

76000540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

76000540 is an abundant number, since it is smaller than the sum of its proper divisors (134760164).

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

76000540 is a wasteful number, since it uses less digits than its factorization.

76000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 76000540 is about 8717.8288581504. The cubic root of 76000540 is about 423.5833616445.

The spelling of 76000540 in words is "seventy-six million, five hundred forty", and thus it is an aban number.