77930580 has 144 divisors (see below), whose sum is σ = 273490560. Its totient is φ = 16434432.

The previous prime is 77930579. The next prime is 77930591. The reversal of 77930580 is 8503977.

It is a super-3 number, since 3×77930580³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37201 + ... + 39239.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 2^77930580 is an apocalyptic number.

77930580 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 77930580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

77930580 is an abundant number, since it is smaller than the sum of its proper divisors (195559980).

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

77930580 is a wasteful number, since it uses less digits than its factorization.

77930580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 77930580 is about 8827.8298578983. The cubic root of 77930580 is about 427.1390750062.

The spelling of 77930580 in words is "seventy-seven million, nine hundred thirty thousand, five hundred eighty".