77815488 has 112 divisors (see below), whose sum is σ = 220187520. Its totient is φ = 24182784.

The previous prime is 77815481. The next prime is 77815489. The reversal of 77815488 is 88451877.

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

It is not an unprimeable number, because it can be changed into a prime (77815481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302656 + ... + 302912.

It is an arithmetic number, because the mean of its divisors is an integer number (1965960).

Almost surely, 2^77815488 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 77815488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110093760).

77815488 is an abundant number, since it is smaller than the sum of its proper divisors (142372032).

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

77815488 is a wasteful number, since it uses less digits than its factorization.

77815488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its digits is 501760, while the sum is 48.

The square root of 77815488 is about 8821.3087464389. The cubic root of 77815488 is about 426.9286975517.

The spelling of 77815488 in words is "seventy-seven million, eight hundred fifteen thousand, four hundred eighty-eight".