76962312 has 240 divisors, whose sum is σ = 265541760. Its totient is φ = 20388672.

The previous prime is 76962287. The next prime is 76962313. The reversal of 76962312 is 21326967.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76962313) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1637473 + ... + 1637519.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2^76962312 is an apocalyptic number.

76962312 is a gapful number since it is divisible by the number (72) 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 76962312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

76962312 is an abundant number, since it is smaller than the sum of its proper divisors (188579448).

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

76962312 is a wasteful number, since it uses less digits than its factorization.

76962312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 76962312 is about 8772.8166514524. The cubic root of 76962312 is about 425.3626652946.

The spelling of 76962312 in words is "seventy-six million, nine hundred sixty-two thousand, three hundred twelve".