76289376 has 48 divisors (see below), whose sum is σ = 202532400. Its totient is φ = 25141248.

The previous prime is 76289363. The next prime is 76289383. The reversal of 76289376 is 67398267.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4080 + ... + 13008.

It is an arithmetic number, because the mean of its divisors is an integer number (4219425).

Almost surely, 2^76289376 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 76289376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101266200).

76289376 is an abundant number, since it is smaller than the sum of its proper divisors (126243024).

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

76289376 is a wasteful number, since it uses less digits than its factorization.

76289376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9023 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 76289376 is about 8734.3789704821. The cubic root of 76289376 is about 424.1192852940.

The spelling of 76289376 in words is "seventy-six million, two hundred eighty-nine thousand, three hundred seventy-six".