76863948 has 72 divisors (see below), whose sum is σ = 214330032. Its totient is φ = 21361536.

The previous prime is 76863937. The next prime is 76863959. The reversal of 76863948 is 84936867.

It is an interprime number because it is at equal distance from previous prime (76863937) and next prime (76863959).

It is a self number, because there is not a number n which added to its sum of digits gives 76863948.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19990 + ... + 23522.

It is an arithmetic number, because the mean of its divisors is an integer number (2976806).

Almost surely, 2^76863948 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 76863948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107165016).

76863948 is an abundant number, since it is smaller than the sum of its proper divisors (137466084).

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

76863948 is a wasteful number, since it uses less digits than its factorization.

76863948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3582 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 76863948 is about 8767.2086777948. The cubic root of 76863948 is about 425.1813721833.

It can be divided in two parts, 768 and 63948, that multiplied together give a square (49112064 = 7008²).

The spelling of 76863948 in words is "seventy-six million, eight hundred sixty-three thousand, nine hundred forty-eight".