52777700 has 36 divisors (see below), whose sum is σ = 115729572. Its totient is φ = 20889600.

The previous prime is 52777661. The next prime is 52777721. The reversal of 52777700 is 777725.

It can be written as a sum of positive squares in 6 ways, for example, as 128164 + 52649536 = 358^2 + 7256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6980 + ... + 12420.

Almost surely, 2^52777700 is an apocalyptic number.

52777700 is a gapful number since it is divisible by the number (50) 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 52777700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57864786).

52777700 is an abundant number, since it is smaller than the sum of its proper divisors (62951872).

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

52777700 is a wasteful number, since it uses less digits than its factorization.

52777700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 35.

The square root of 52777700 is about 7264.8262195320. The cubic root of 52777700 is about 375.1026681850.

The spelling of 52777700 in words is "fifty-two million, seven hundred seventy-seven thousand, seven hundred".