78100944 has 80 divisors (see below), whose sum is σ = 219777600. Its totient is φ = 23804928.

The previous prime is 78100931. The next prime is 78100949. The reversal of 78100944 is 44900187.

It is a super-2 number, since 2×78100944² = 12199514907382272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78100949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24972 + ... + 27924.

It is an arithmetic number, because the mean of its divisors is an integer number (2747220).

Almost surely, 2^78100944 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 78100944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109888800).

78100944 is an abundant number, since it is smaller than the sum of its proper divisors (141676656).

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

78100944 is a wasteful number, since it uses less digits than its factorization.

78100944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 78100944 is about 8837.4738472032. The cubic root of 78100944 is about 427.4501046381.

The spelling of 78100944 in words is "seventy-eight million, one hundred thousand, nine hundred forty-four".