77700384 has 120 divisors (see below), whose sum is σ = 236130048. Its totient is φ = 25038720.

The previous prime is 77700379. The next prime is 77700401. The reversal of 77700384 is 48300777.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79869 + ... + 80835.

Almost surely, 2^77700384 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 77700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118065024).

77700384 is an abundant number, since it is smaller than the sum of its proper divisors (158429664).

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

77700384 is a wasteful number, since it uses less digits than its factorization.

77700384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77700384 is about 8814.7821300359. The cubic root of 77700384 is about 426.7180905901.

The spelling of 77700384 in words is "seventy-seven million, seven hundred thousand, three hundred eighty-four".