76732305092820 has 384 divisors, whose sum is σ = 275267283379200. Its totient is φ = 17577153183744.

The previous prime is 76732305092809. The next prime is 76732305092831. The reversal of 76732305092820 is 2829050323767.

76732305092820 is a `hidden beast` number, since 7 + 6 + 73 + 23 + 0 + 509 + 28 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (76732305092809) and next prime (76732305092831).

It is a super-2 number, since 2×76732305092820² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7009057 + ... + 14233463.

It is an arithmetic number, because the mean of its divisors is an integer number (716841883800).

Almost surely, 2^{76732305092820} 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 76732305092820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137633641689600).

76732305092820 is an abundant number, since it is smaller than the sum of its proper divisors (198534978286380).

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

76732305092820 is a wasteful number, since it uses less digits than its factorization.

76732305092820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224544 (or 7224536 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 76732305092820 in words is "seventy-six trillion, seven hundred thirty-two billion, three hundred five million, ninety-two thousand, eight hundred twenty".