61276080 has 80 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 16245504.

The previous prime is 61276079. The next prime is 61276091. The reversal of 61276080 is 8067216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47119 + ... + 48401.

It is an arithmetic number, because the mean of its divisors is an integer number (2388240).

Almost surely, 2^61276080 is an apocalyptic number.

61276080 is a gapful number since it is divisible by the number (60) 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 61276080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

61276080 is an abundant number, since it is smaller than the sum of its proper divisors (129783120).

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

61276080 is a wasteful number, since it uses less digits than its factorization.

61276080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 61276080 is about 7827.9039340043. The cubic root of 61276080 is about 394.2426979206.

The spelling of 61276080 in words is "sixty-one million, two hundred seventy-six thousand, eighty".