77284480 has 128 divisors (see below), whose sum is σ = 227566080. Its totient is φ = 24440832.

The previous prime is 77284477. The next prime is 77284489. The reversal of 77284480 is 8448277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (77284489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57577 + ... + 58903.

It is an arithmetic number, because the mean of its divisors is an integer number (1777860).

Almost surely, 2^77284480 is an apocalyptic number.

77284480 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 77284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113783040).

77284480 is an abundant number, since it is smaller than the sum of its proper divisors (150281600).

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

77284480 is a wasteful number, since it uses less digits than its factorization.

77284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 77284480 is about 8791.1591954645. The cubic root of 77284480 is about 425.9553686702.

The spelling of 77284480 in words is "seventy-seven million, two hundred eighty-four thousand, four hundred eighty".