77707000 has 128 divisors (see below), whose sum is σ = 220371840. Its totient is φ = 25036800.

The previous prime is 77706997. The next prime is 77707009. The reversal of 77707000 is 70777.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 77707000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77707009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118674 + ... + 119326.

It is an arithmetic number, because the mean of its divisors is an integer number (1721655).

Almost surely, 2^77707000 is an apocalyptic number.

77707000 is a gapful number since it is divisible by the number (70) 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 77707000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110185920).

77707000 is an abundant number, since it is smaller than the sum of its proper divisors (142664840).

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

77707000 is a wasteful number, since it uses less digits than its factorization.

77707000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2401, while the sum is 28.

The square root of 77707000 is about 8815.1574007501. The cubic root of 77707000 is about 426.7302015846.

Adding to 77707000 its reverse (70777), we get a palindrome (77777777).

The spelling of 77707000 in words is "seventy-seven million, seven hundred seven thousand".