77274920 has 32 divisors (see below), whose sum is σ = 174138120. Its totient is φ = 30862080.

The previous prime is 77274893. The next prime is 77274947. The reversal of 77274920 is 2947277.

It is an interprime number because it is at equal distance from previous prime (77274893) and next prime (77274947).

It can be written as a sum of positive squares in 4 ways, for example, as 65836996 + 11437924 = 8114^2 + 3382^2 .

It is a super-2 number, since 2×77274920² = 11942826522012800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 36614 + ... + 38666.

Almost surely, 2^77274920 is an apocalyptic number.

It is an amenable number.

77274920 is an abundant number, since it is smaller than the sum of its proper divisors (96863200).

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

77274920 is a wasteful number, since it uses less digits than its factorization.

77274920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 77274920 is about 8790.6154505814. The cubic root of 77274920 is about 425.9378045519.

The spelling of 77274920 in words is "seventy-seven million, two hundred seventy-four thousand, nine hundred twenty".