76811280 has 160 divisors (see below), whose sum is σ = 293147904. Its totient is φ = 16201728.

The previous prime is 76811263. The next prime is 76811291. The reversal of 76811280 is 8211867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20082 + ... + 23598.

Almost surely, 2^76811280 is an apocalyptic number.

76811280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146573952).

76811280 is an abundant number, since it is smaller than the sum of its proper divisors (216336624).

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

76811280 is a wasteful number, since it uses less digits than its factorization.

76811280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 76811280 is about 8764.2044704582. The cubic root of 76811280 is about 425.0842370513.

The spelling of 76811280 in words is "seventy-six million, eight hundred eleven thousand, two hundred eighty".