77520630 has 64 divisors (see below), whose sum is σ = 206343936. Its totient is φ = 18480000.

The previous prime is 77520623. The next prime is 77520637. The reversal of 77520630 is 3602577.

It is an interprime number because it is at equal distance from previous prime (77520623) and next prime (77520637).

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 (77520637) 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, 18205 + ... + 22055.

It is an arithmetic number, because the mean of its divisors is an integer number (3224124).

Almost surely, 2^77520630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77520630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103171968).

77520630 is an abundant number, since it is smaller than the sum of its proper divisors (128823306).

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

77520630 is a wasteful number, since it uses less digits than its factorization.

77520630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 77520630 is about 8804.5800581288. The cubic root of 77520630 is about 426.3887764318.

The spelling of 77520630 in words is "seventy-seven million, five hundred twenty thousand, six hundred thirty".