7961400 has 72 divisors (see below), whose sum is σ = 26743080. Its totient is φ = 2122560.

The previous prime is 7961363. The next prime is 7961411. The reversal of 7961400 is 41697.

It is a tau number, because it is divible by the number of its divisors (72).

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, 412 + ... + 4011.

Almost surely, 2^7961400 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 7961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371540).

7961400 is an abundant number, since it is smaller than the sum of its proper divisors (18781680).

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

7961400 is a wasteful number, since it uses less digits than its factorization.

7961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7961400 is about 2821.5952934466. The cubic root of 7961400 is about 199.6778145949.

The spelling of 7961400 in words is "seven million, nine hundred sixty-one thousand, four hundred".