76801952 has 48 divisors (see below), whose sum is σ = 161935200. Its totient is φ = 35746560.

The previous prime is 76801939. The next prime is 76801957. The reversal of 76801952 is 25910867.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (76801957) 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 7 ways as a sum of consecutive naturals, for example, 34802 + ... + 36942.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^76801952 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 76801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80967600).

76801952 is an abundant number, since it is smaller than the sum of its proper divisors (85133248).

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

76801952 is a wasteful number, since it uses less digits than its factorization.

76801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 76801952 is about 8763.6722896284. The cubic root of 76801952 is about 425.0670288744.

The spelling of 76801952 in words is "seventy-six million, eight hundred one thousand, nine hundred fifty-two".