77280476 has 48 divisors (see below), whose sum is σ = 172213440. Its totient is φ = 29514240.

The previous prime is 77280433. The next prime is 77280491. The reversal of 77280476 is 67408277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6896 + ... + 14216.

It is an arithmetic number, because the mean of its divisors is an integer number (3587780).

Almost surely, 2^77280476 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 77280476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86106720).

77280476 is an abundant number, since it is smaller than the sum of its proper divisors (94932964).

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

77280476 is a wasteful number, since it uses less digits than its factorization.

77280476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 77280476 is about 8790.9314637301. The cubic root of 77280476 is about 425.9480124940.

The spelling of 77280476 in words is "seventy-seven million, two hundred eighty thousand, four hundred seventy-six".