76314780 has 72 divisors (see below), whose sum is σ = 232438752. Its totient is φ = 20267136.

The previous prime is 76314779. The next prime is 76314781. The reversal of 76314780 is 8741367.

It is an interprime number because it is at equal distance from previous prime (76314779) and next prime (76314781).

It is a super-3 number, since 3×76314780³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76314781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52017 + ... + 53463.

It is an arithmetic number, because the mean of its divisors is an integer number (3228316).

Almost surely, 2^76314780 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 76314780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116219376).

76314780 is an abundant number, since it is smaller than the sum of its proper divisors (156123972).

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

76314780 is a wasteful number, since it uses less digits than its factorization.

76314780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76314780 is about 8735.8331028014. The cubic root of 76314780 is about 424.1663566390.

The spelling of 76314780 in words is "seventy-six million, three hundred fourteen thousand, seven hundred eighty".