61776000 has 512 divisors, whose sum is σ = 267321600. Its totient is φ = 13824000.

The previous prime is 61775969. The next prime is 61776017. The reversal of 61776000 is 67716.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751994 + ... + 4752006.

Almost surely, 2^61776000 is an apocalyptic number.

61776000 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 61776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

61776000 is an abundant number, since it is smaller than the sum of its proper divisors (205545600).

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

61776000 is a wasteful number, since it uses less digits than its factorization.

61776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 61776000 is about 7859.7709890302. The cubic root of 61776000 is about 395.3119364717.

The spelling of 61776000 in words is "sixty-one million, seven hundred seventy-six thousand".