7650 has 36 divisors (see below), whose sum is σ = 21762. Its totient is φ = 1920.

The previous prime is 7649. The next prime is 7669. The reversal of 7650 is 567.

7650 = T_{9} + T_{10} + ... +
T_{35}.

It can be written as a sum of positive squares in 3 ways, for example, as 6561 + 1089 = 81^2 + 33^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

7650 is an undulating number in base 13.

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 442 + ... + 458.

2^{7650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881).

7650 is an abundant number, since it is smaller than the sum of its proper divisors (14112).

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

7650 is a wasteful number, since it uses less digits than its factorization.

7650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 7650 is about 87.4642784227. The cubic root of 7650 is about 19.7039733626.

The spelling of 7650 in words is "seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650

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