77623056 has 240 divisors, whose sum is σ = 274238400. Its totient is φ = 20901888.

The previous prime is 77623031. The next prime is 77623057. The reversal of 77623056 is 65032677.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77623056.

It is not an unprimeable number, because it can be changed into a prime (77623057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402096 + ... + 402288.

It is an arithmetic number, because the mean of its divisors is an integer number (1142660).

Almost surely, 2^77623056 is an apocalyptic number.

77623056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77623056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137119200).

77623056 is an abundant number, since it is smaller than the sum of its proper divisors (196615344).

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

77623056 is a wasteful number, since it uses less digits than its factorization.

77623056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 77623056 is about 8810.3947698159. The cubic root of 77623056 is about 426.5764859320.

It can be divided in two parts, 776 and 23056, that added together give a palindrome (23832).

The spelling of 77623056 in words is "seventy-seven million, six hundred twenty-three thousand, fifty-six".