76049280 has 224 divisors, whose sum is σ = 274255560. Its totient is φ = 20155392.

The previous prime is 76049273. The next prime is 76049317. The reversal of 76049280 is 8294067.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466479 + ... + 466641.

Almost surely, 2^76049280 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 76049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137127780).

76049280 is an abundant number, since it is smaller than the sum of its proper divisors (198206280).

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

76049280 is an equidigital number, since it uses as much as digits as its factorization.

76049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76049280 is about 8720.6238308965. The cubic root of 76049280 is about 423.6738918838.

The spelling of 76049280 in words is "seventy-six million, forty-nine thousand, two hundred eighty".