77152020 has 72 divisors (see below), whose sum is σ = 237472032. Its totient is φ = 18701760.

The previous prime is 77152003. The next prime is 77152063. The reversal of 77152020 is 2025177.

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, 1947 + ... + 12573.

Almost surely, 2^77152020 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 77152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118736016).

77152020 is an abundant number, since it is smaller than the sum of its proper divisors (160320012).

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

77152020 is a wasteful number, since it uses less digits than its factorization.

77152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10661 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 77152020 is about 8783.6222596375. The cubic root of 77152020 is about 425.7118772935.

Adding to 77152020 its reverse (2025177), we get a palindrome (79177197).

The spelling of 77152020 in words is "seventy-seven million, one hundred fifty-two thousand, twenty".