76538748 has 144 divisors (see below), whose sum is σ = 218405376. Its totient is φ = 20666880.

The previous prime is 76538747. The next prime is 76538797. The reversal of 76538748 is 84783567.

It is a junction number, because it is equal to n+sod(n) for n = 76538697 and 76538706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76538741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048440 + ... + 1048512.

It is an arithmetic number, because the mean of its divisors is an integer number (1516704).

Almost surely, 2^76538748 is an apocalyptic number.

76538748 is a gapful number since it is divisible by the number (78) 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 76538748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109202688).

76538748 is an abundant number, since it is smaller than the sum of its proper divisors (141866628).

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

76538748 is a wasteful number, since it uses less digits than its factorization.

76538748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 76538748 is about 8748.6426375753. The cubic root of 76538748 is about 424.5808980381.

The spelling of 76538748 in words is "seventy-six million, five hundred thirty-eight thousand, seven hundred forty-eight".