77483280 has 160 divisors (see below), whose sum is σ = 290767104. Its totient is φ = 16662528.

The previous prime is 77483269. The next prime is 77483281. The reversal of 77483280 is 8238477.

It is not an unprimeable number, because it can be changed into a prime (77483281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27204 + ... + 29916.

Almost surely, 2^77483280 is an apocalyptic number.

77483280 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 77483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145383552).

77483280 is an abundant number, since it is smaller than the sum of its proper divisors (213283824).

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

77483280 is a wasteful number, since it uses less digits than its factorization.

77483280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 77483280 is about 8802.4587474182. The cubic root of 77483280 is about 426.3202863659.

The spelling of 77483280 in words is "seventy-seven million, four hundred eighty-three thousand, two hundred eighty".