77678544 has 80 divisors (see below), whose sum is σ = 212557824. Its totient is φ = 24393600.

The previous prime is 77678543. The next prime is 77678551. The reversal of 77678544 is 44587677.

77678544 = T₄₅₇ + T₄₅₈ + ... + T₈₂₄.

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 = 77678493 and 77678502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77678543) 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, 77889 + ... + 78879.

Almost surely, 2^77678544 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 77678544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912).

77678544 is an abundant number, since it is smaller than the sum of its proper divisors (134879280).

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

77678544 is a wasteful number, since it uses less digits than its factorization.

77678544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 77678544 is about 8813.5432148484. The cubic root of 77678544 is about 426.6781062471.

The spelling of 77678544 in words is "seventy-seven million, six hundred seventy-eight thousand, five hundred forty-four".