82754900 has 18 divisors (see below), whose sum is σ = 179578350. Its totient is φ = 33101920.

The previous prime is 82754887. The next prime is 82754909. The reversal of 82754900 is 945728.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23833924 + 58920976 = 4882^2 + 7676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82754909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413675 + ... + 413874.

It is an arithmetic number, because the mean of its divisors is an integer number (9976575).

Almost surely, 2^82754900 is an apocalyptic number.

It is an amenable number.

82754900 is an abundant number, since it is smaller than the sum of its proper divisors (96823450).

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

82754900 is a wasteful number, since it uses less digits than its factorization.

82754900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827563 (or 827556 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 82754900 is about 9096.9720237011. The cubic root of 82754900 is about 435.7772688927. Note that the first 3 decimals are identical.

The spelling of 82754900 in words is "eighty-two million, seven hundred fifty-four thousand, nine hundred".