77127552 has 160 divisors (see below), whose sum is σ = 236225880. Its totient is φ = 24966144.

The previous prime is 77127529. The next prime is 77127553. The reversal of 77127552 is 25572177.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77127553) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445738 + ... + 445910.

Almost surely, 2^77127552 is an apocalyptic number.

77127552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118112940).

77127552 is an abundant number, since it is smaller than the sum of its proper divisors (159098328).

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

77127552 is a wasteful number, since it uses less digits than its factorization.

77127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 77127552 is about 8782.2293297317. The cubic root of 77127552 is about 425.6668690982. Note that the first 3 decimals are identical.

The spelling of 77127552 in words is "seventy-seven million, one hundred twenty-seven thousand, five hundred fifty-two".