7661400 has 72 divisors (see below), whose sum is σ = 23962380. Its totient is φ = 2024960.

The previous prime is 7661399. The next prime is 7661411. The reversal of 7661400 is 41667.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67744 + ... + 67856.

Almost surely, 2^7661400 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 7661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981190).

7661400 is an abundant number, since it is smaller than the sum of its proper divisors (16300980).

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

7661400 is a wasteful number, since it uses less digits than its factorization.

7661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7661400 is about 2767.9234093450. The cubic root of 7661400 is about 197.1375609943.

Multiplying 7661400 by its sum of digits (24), we get a square (183873600 = 13560²).

7661400 divided by its sum of digits (24) gives a square (319225 = 565²).

The spelling of 7661400 in words is "seven million, six hundred sixty-one thousand, four hundred".