77320476 has 72 divisors (see below), whose sum is σ = 200425680. Its totient is φ = 25127424.

The previous prime is 77320469. The next prime is 77320487. The reversal of 77320476 is 67402377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77320476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337530 + ... + 337758.

It is an arithmetic number, because the mean of its divisors is an integer number (2783690).

Almost surely, 2^77320476 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 77320476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100212840).

77320476 is an abundant number, since it is smaller than the sum of its proper divisors (123105204).

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

77320476 is a wasteful number, since it uses less digits than its factorization.

77320476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77320476 is about 8793.2062411842. The cubic root of 77320476 is about 426.0214893610.

The spelling of 77320476 in words is "seventy-seven million, three hundred twenty thousand, four hundred seventy-six".