76311960 has 64 divisors (see below), whose sum is σ = 230018400. Its totient is φ = 20253696.

The previous prime is 76311959. The next prime is 76312009. The reversal of 76311960 is 6911367.

It is a super-3 number, since 3×76311960³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26092 + ... + 28868.

Almost surely, 2^76311960 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 76311960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115009200).

76311960 is an abundant number, since it is smaller than the sum of its proper divisors (153706440).

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

76311960 is a wasteful number, since it uses less digits than its factorization.

76311960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 76311960 is about 8735.6716971278. The cubic root of 76311960 is about 424.1611319461.

It can be divided in two parts, 7631 and 1960, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 76311960 in words is "seventy-six million, three hundred eleven thousand, nine hundred sixty".