77700700 has 72 divisors (see below), whose sum is σ = 210236544. Its totient is φ = 24216000.

The previous prime is 77700697. The next prime is 77700719. The reversal of 77700700 is 700777.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2655 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (2919952).

Almost surely, 2^77700700 is an apocalyptic number.

77700700 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 77700700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105118272).

77700700 is an abundant number, since it is smaller than the sum of its proper divisors (132535844).

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

77700700 is a wasteful number, since it uses less digits than its factorization.

77700700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123 (or 10116 counting only the distinct ones).

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

The square root of 77700700 is about 8814.8000544539. The cubic root of 77700700 is about 426.7186690631.

It can be divided in two parts, 77700 and 700, that added together give a square (78400 = 280²).

The spelling of 77700700 in words is "seventy-seven million, seven hundred thousand, seven hundred".