76813380 has 144 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 17551296.

The previous prime is 76813379. The next prime is 76813397. The reversal of 76813380 is 8331867.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25009 + ... + 27911.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 2^76813380 is an apocalyptic number.

76813380 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 76813380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

76813380 is an abundant number, since it is smaller than the sum of its proper divisors (201273660).

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

76813380 is a wasteful number, since it uses less digits than its factorization.

76813380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76813380 is about 8764.3242751509. The cubic root of 76813380 is about 425.0881109127.

The spelling of 76813380 in words is "seventy-six million, eight hundred thirteen thousand, three hundred eighty".