77245080 has 128 divisors (see below), whose sum is σ = 255225600. Its totient is φ = 18547200.

The previous prime is 77245061. The next prime is 77245081. The reversal of 77245080 is 8054277.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77245081) 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, 183270 + ... + 183690.

It is an arithmetic number, because the mean of its divisors is an integer number (1993950).

Almost surely, 2^77245080 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 77245080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127612800).

77245080 is an abundant number, since it is smaller than the sum of its proper divisors (177980520).

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

77245080 is a wasteful number, since it uses less digits than its factorization.

77245080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 77245080 is about 8788.9180221458. The cubic root of 77245080 is about 425.8829716668.

The spelling of 77245080 in words is "seventy-seven million, two hundred forty-five thousand, eighty".