76087296 has 136 divisors (see below), whose sum is σ = 230684960. Its totient is φ = 24772608.

The previous prime is 76087283. The next prime is 76087309. The reversal of 76087296 is 69278067.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76087283) and next prime (76087309).

It is a super-2 number, since 2×76087296² = 11578553225183232, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

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, 1769451 + ... + 1769493.

Almost surely, 2^76087296 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 76087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115342480).

76087296 is an abundant number, since it is smaller than the sum of its proper divisors (154597664).

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

76087296 is an frugal number, since it uses more digits than its factorization.

76087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 76087296 is about 8722.8032191492. The cubic root of 76087296 is about 423.7444763944.

The spelling of 76087296 in words is "seventy-six million, eighty-seven thousand, two hundred ninety-six".