82750900 has 36 divisors (see below), whose sum is σ = 190136268. Its totient is φ = 31152640.

The previous prime is 82750897. The next prime is 82750903. The reversal of 82750900 is 905728.

It is an interprime number because it is at equal distance from previous prime (82750897) and next prime (82750903).

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 82664464 = 294^2 + 9092^2 .

It is a super-2 number, since 2×82750900² = 13695422901620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82750903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22639 + ... + 26038.

It is an arithmetic number, because the mean of its divisors is an integer number (5281563).

Almost surely, 2^82750900 is an apocalyptic number.

It is an amenable number.

82750900 is an abundant number, since it is smaller than the sum of its proper divisors (107385368).

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

82750900 is a wasteful number, since it uses less digits than its factorization.

82750900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48708 (or 48701 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 82750900 is about 9096.7521676695. The cubic root of 82750900 is about 435.7702476079.

The spelling of 82750900 in words is "eighty-two million, seven hundred fifty thousand, nine hundred".