61079200 has 144 divisors (see below), whose sum is σ = 183738240. Its totient is φ = 19307520.

The previous prime is 61079189. The next prime is 61079201. The reversal of 61079200 is 297016.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61079201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72381 + ... + 73219.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^61079200 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 61079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

61079200 is an abundant number, since it is smaller than the sum of its proper divisors (122659040).

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

61079200 is a wasteful number, since it uses less digits than its factorization.

61079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 61079200 is about 7815.3182916629. The cubic root of 61079200 is about 393.8200110665.

The spelling of 61079200 in words is "sixty-one million, seventy-nine thousand, two hundred".