76274880 has 224 divisors, whose sum is σ = 273881088. Its totient is φ = 17817600.

The previous prime is 76274867. The next prime is 76274917. The reversal of 76274880 is 8847267.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327244 + ... + 327476.

Almost surely, 2^76274880 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 76274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

76274880 is an abundant number, since it is smaller than the sum of its proper divisors (197606208).

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

76274880 is a wasteful number, since it uses less digits than its factorization.

76274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 76274880 is about 8733.5491067492. The cubic root of 76274880 is about 424.0924208168.

The spelling of 76274880 in words is "seventy-six million, two hundred seventy-four thousand, eight hundred eighty".