77625944 has 64 divisors (see below), whose sum is σ = 177033600. Its totient is φ = 31449600.

The previous prime is 77625941. The next prime is 77625959. The reversal of 77625944 is 44952677.

It is a super-2 number, since 2×77625944² = 12051574363782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 77625895 and 77625904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77625941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27059 + ... + 29789.

It is an arithmetic number, because the mean of its divisors is an integer number (2766150).

Almost surely, 2^77625944 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 77625944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88516800).

77625944 is an abundant number, since it is smaller than the sum of its proper divisors (99407656).

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

77625944 is a wasteful number, since it uses less digits than its factorization.

77625944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2780 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 77625944 is about 8810.5586656012. The cubic root of 77625944 is about 426.5817761884.

The spelling of 77625944 in words is "seventy-seven million, six hundred twenty-five thousand, nine hundred forty-four".