76220092416 has 468 divisors, whose sum is σ = 235611428352. Its totient is φ = 21898985472.

The previous prime is 76220092393. The next prime is 76220092439. The reversal of 76220092416 is 61429002267.

It is an interprime number because it is at equal distance from previous prime (76220092393) and next prime (76220092439).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600158145 + ... + 600158271.

Almost surely, 2^76220092416 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 76220092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117805714176).

76220092416 is an abundant number, since it is smaller than the sum of its proper divisors (159391335936).

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

76220092416 is a wasteful number, since it uses less digits than its factorization.

76220092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 76220092416 in words is "seventy-six billion, two hundred twenty million, ninety-two thousand, four hundred sixteen".