77332420 has 48 divisors (see below), whose sum is σ = 177847488. Its totient is φ = 28012160.

The previous prime is 77332403. The next prime is 77332427. The reversal of 77332420 is 2423377.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77332427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75834 + ... + 76846.

It is an arithmetic number, because the mean of its divisors is an integer number (3705156).

Almost surely, 2^77332420 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 77332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88923744).

77332420 is an abundant number, since it is smaller than the sum of its proper divisors (100515068).

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

77332420 is a wasteful number, since it uses less digits than its factorization.

77332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 77332420 is about 8793.8853756460. The cubic root of 77332420 is about 426.0434246402.

Adding to 77332420 its reverse (2423377), we get a palindrome (79755797).

It can be divided in two parts, 7733 and 2420, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 77332420 in words is "seventy-seven million, three hundred thirty-two thousand, four hundred twenty".