7961100 has 144 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 1704960.

The previous prime is 7961087. The next prime is 7961101. The reversal of 7961100 is 11697.

7961100 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7961100² = 126758226420000, which contains 22 as substring.

7961100 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7961101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35589 + ... + 35811.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 2^7961100 is an apocalyptic number.

7961100 is a gapful number since it is divisible by the number (70) 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 7961100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

7961100 is an abundant number, since it is smaller than the sum of its proper divisors (20037108).

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

7961100 is a wasteful number, since it uses less digits than its factorization.

7961100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 7961100 is about 2821.5421315302. The cubic root of 7961100 is about 199.6753064892.

Adding to 7961100 its reverse (11697), we get a palindrome (7972797).

The spelling of 7961100 in words is "seven million, nine hundred sixty-one thousand, one hundred".