77801388 has 48 divisors (see below), whose sum is σ = 208588800. Its totient is φ = 22109184.

The previous prime is 77801369. The next prime is 77801389. The reversal of 77801388 is 88310877.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (77801389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13813 + ... + 18611.

It is an arithmetic number, because the mean of its divisors is an integer number (4345600).

Almost surely, 2^77801388 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 77801388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104294400).

77801388 is an abundant number, since it is smaller than the sum of its proper divisors (130787412).

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

77801388 is a wasteful number, since it uses less digits than its factorization.

77801388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 77801388 is about 8820.5095090930. The cubic root of 77801388 is about 426.9029098051.

The spelling of 77801388 in words is "seventy-seven million, eight hundred one thousand, three hundred eighty-eight".