61778000 has 160 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 21964800.

The previous prime is 61777999. The next prime is 61778027. The reversal of 61778000 is 87716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781961 + ... + 782039.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^61778000 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 61778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

61778000 is an abundant number, since it is smaller than the sum of its proper divisors (105354160).

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

61778000 is a wasteful number, since it uses less digits than its factorization.

61778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 61778000 is about 7859.8982181705. The cubic root of 61778000 is about 395.3162025045.

The spelling of 61778000 in words is "sixty-one million, seven hundred seventy-eight thousand".