7950900 has 72 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 1994240.

The previous prime is 7950889. The next prime is 7950913. The reversal of 7950900 is 90597.

7950900 = T₁₇₆ + T₁₇₇ + ... + T₃₇₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4321 + ... + 5879.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^7950900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7950900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

7950900 is an abundant number, since it is smaller than the sum of its proper divisors (16422540).

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

7950900 is a wasteful number, since it uses less digits than its factorization.

7950900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 7950900 is about 2819.7340300106. The cubic root of 7950900 is about 199.5899933806.

The spelling of 7950900 in words is "seven million, nine hundred fifty thousand, nine hundred".