76331948 has 48 divisors (see below), whose sum is σ = 170118144. Its totient is φ = 29101440.

The previous prime is 76331947. The next prime is 76331971. The reversal of 76331948 is 84913367.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76331947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11840 + ... + 17112.

It is an arithmetic number, because the mean of its divisors is an integer number (3544128).

Almost surely, 2^76331948 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 76331948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85059072).

76331948 is an abundant number, since it is smaller than the sum of its proper divisors (93786196).

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

76331948 is a wasteful number, since it uses less digits than its factorization.

76331948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5340 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 76331948 is about 8736.8156670494. The cubic root of 76331948 is about 424.1981614961.

It can be divided in two parts, 763319 and 48, that added together give a palindrome (763367).

The spelling of 76331948 in words is "seventy-six million, three hundred thirty-one thousand, nine hundred forty-eight".