77800480 has 48 divisors (see below), whose sum is σ = 186349464. Its totient is φ = 30689280.

The previous prime is 77800477. The next prime is 77800501. The reversal of 77800480 is 8400877.

It can be written as a sum of positive squares in 4 ways, for example, as 75829264 + 1971216 = 8708^2 + 1404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8350 + ... + 15010.

Almost surely, 2^77800480 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 77800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93174732).

77800480 is an abundant number, since it is smaller than the sum of its proper divisors (108548984).

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

77800480 is a wasteful number, since it uses less digits than its factorization.

77800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 77800480 is about 8820.4580379933. The cubic root of 77800480 is about 426.9012490406.

The spelling of 77800480 in words is "seventy-seven million, eight hundred thousand, four hundred eighty".