77746944 has 72 divisors (see below), whose sum is σ = 225755712. Its totient is φ = 23557120.

The previous prime is 77746931. The next prime is 77746957. The reversal of 77746944 is 44964777.

It is an interprime number because it is at equal distance from previous prime (77746931) and next prime (77746957).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 77746893 and 77746902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3847 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (3135496).

Almost surely, 2^77746944 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 77746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112877856).

77746944 is an abundant number, since it is smaller than the sum of its proper divisors (148008768).

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

77746944 is a wasteful number, since it uses less digits than its factorization.

77746944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9219 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 77746944 is about 8817.4227527095. The cubic root of 77746944 is about 426.8033069306.

The spelling of 77746944 in words is "seventy-seven million, seven hundred forty-six thousand, nine hundred forty-four".