77050320 has 160 divisors (see below), whose sum is σ = 256471680. Its totient is φ = 19077120.

The previous prime is 77050319. The next prime is 77050327. The reversal of 77050320 is 2305077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77050327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 278022 + ... + 278298.

It is an arithmetic number, because the mean of its divisors is an integer number (1602948).

Almost surely, 2^77050320 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 77050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128235840).

77050320 is an abundant number, since it is smaller than the sum of its proper divisors (179421360).

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

77050320 is a wasteful number, since it uses less digits than its factorization.

77050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 77050320 is about 8777.8311672075. The cubic root of 77050320 is about 425.5247405415.

Adding to 77050320 its reverse (2305077), we get a palindrome (79355397).

The spelling of 77050320 in words is "seventy-seven million, fifty thousand, three hundred twenty".