77042920 has 32 divisors (see below), whose sum is σ = 176622120. Its totient is φ = 30234880.

The previous prime is 77042897. The next prime is 77042923. The reversal of 77042920 is 2924077.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73994404 + 3048516 = 8602^2 + 1746^2 .

It is a super-2 number, since 2×77042920² = 11871223044252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77042923) 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 7 ways as a sum of consecutive naturals, for example, 16051 + ... + 20290.

Almost surely, 2^77042920 is an apocalyptic number.

It is an amenable number.

77042920 is an abundant number, since it is smaller than the sum of its proper divisors (99579200).

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

77042920 is a wasteful number, since it uses less digits than its factorization.

77042920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36405 (or 36401 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 77042920 is about 8777.4096406628. The cubic root of 77042920 is about 425.5111174793.

Adding to 77042920 its reverse (2924077), we get a palindrome (79966997).

The spelling of 77042920 in words is "seventy-seven million, forty-two thousand, nine hundred twenty".