77085300 has 72 divisors (see below), whose sum is σ = 224110656. Its totient is φ = 20456960.

The previous prime is 77085271. The next prime is 77085301. The reversal of 77085300 is 358077.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77085301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78412 + ... + 79388.

It is an arithmetic number, because the mean of its divisors is an integer number (3112648).

Almost surely, 2^77085300 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 77085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112055328).

77085300 is an abundant number, since it is smaller than the sum of its proper divisors (147025356).

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

77085300 is a wasteful number, since it uses less digits than its factorization.

77085300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 77085300 is about 8779.8234606397. The cubic root of 77085300 is about 425.5891253204.

The spelling of 77085300 in words is "seventy-seven million, eighty-five thousand, three hundred".