77623344 has 90 divisors (see below), whose sum is σ = 227316180. Its totient is φ = 24725184.

The previous prime is 77623327. The next prime is 77623361. The reversal of 77623344 is 44332677.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77623327) and next prime (77623361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77623299 and 77623308.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75667 + ... + 76685.

Almost surely, 2^77623344 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 77623344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113658090).

77623344 is an abundant number, since it is smaller than the sum of its proper divisors (149692836).

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

77623344 is a wasteful number, since it uses less digits than its factorization.

77623344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1047 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 77623344 is about 8810.4111141308. The cubic root of 77623344 is about 426.5770134981.

The spelling of 77623344 in words is "seventy-seven million, six hundred twenty-three thousand, three hundred forty-four".