76871952 has 60 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 25535424.

The previous prime is 76871939. The next prime is 76871969. The reversal of 76871952 is 25917867.

It is a junction number, because it is equal to n+sod(n) for n = 76871898 and 76871907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50953 + ... + 52439.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^76871952 is an apocalyptic number.

76871952 is a gapful number since it is divisible by the number (72) 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 76871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

76871952 is an abundant number, since it is smaller than the sum of its proper divisors (139007088).

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

76871952 is a wasteful number, since it uses less digits than its factorization.

76871952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1851 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 76871952 is about 8767.6651395910. The cubic root of 76871952 is about 425.1961300061.

The spelling of 76871952 in words is "seventy-six million, eight hundred seventy-one thousand, nine hundred fifty-two".