76759380 has 96 divisors (see below), whose sum is σ = 244702080. Its totient is φ = 19964160.

The previous prime is 76759367. The next prime is 76759387. The reversal of 76759380 is 8395767.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76759387) 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, 20407 + ... + 23873.

It is an arithmetic number, because the mean of its divisors is an integer number (2548980).

Almost surely, 2^76759380 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 76759380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122351040).

76759380 is an abundant number, since it is smaller than the sum of its proper divisors (167942700).

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

76759380 is a wasteful number, since it uses less digits than its factorization.

76759380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 76759380 is about 8761.2430624883. The cubic root of 76759380 is about 424.9884748893.

The spelling of 76759380 in words is "seventy-six million, seven hundred fifty-nine thousand, three hundred eighty".