61788480 has 112 divisors (see below), whose sum is σ = 211311744. Its totient is φ = 15206400.

The previous prime is 61788479. The next prime is 61788491. The reversal of 61788480 is 8488716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10005 + ... + 14955.

It is an arithmetic number, because the mean of its divisors is an integer number (1886712).

Almost surely, 2^61788480 is an apocalyptic number.

61788480 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 61788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655872).

61788480 is an abundant number, since it is smaller than the sum of its proper divisors (149523264).

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

61788480 is a wasteful number, since it uses less digits than its factorization.

61788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 61788480 is about 7860.5648651989. The cubic root of 61788480 is about 395.3385550117.

The spelling of 61788480 in words is "sixty-one million, seven hundred eighty-eight thousand, four hundred eighty".