76769372160 has 1152 divisors, whose sum is σ = 310784947200. Its totient is φ = 17942446080.

The previous prime is 76769372131. The next prime is 76769372167. The reversal of 76769372160 is 6127396767.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 76769372097 and 76769372106.

It is not an unprimeable number, because it can be changed into a prime (76769372167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448478694 + ... + 1448478746.

It is an arithmetic number, because the mean of its divisors is an integer number (269778600).

Almost surely, 2^76769372160 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 76769372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155392473600).

76769372160 is an abundant number, since it is smaller than the sum of its proper divisors (234015575040).

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

76769372160 is a wasteful number, since it uses less digits than its factorization.

76769372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 76769372160 in words is "seventy-six billion, seven hundred sixty-nine million, three hundred seventy-two thousand, one hundred sixty".