76378800960 has 1680 divisors, whose sum is σ = 353170540800. Its totient is φ = 15647385600.

The previous prime is 76378800919. The next prime is 76378800977. The reversal of 76378800960 is 6900887367.

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 76378800897 and 76378800906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1075757725 + ... + 1075757795.

It is an arithmetic number, because the mean of its divisors is an integer number (210220560).

Almost surely, 2^76378800960 is an apocalyptic number.

76378800960 is a gapful number since it is divisible by the number (70) 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 76378800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176585270400).

76378800960 is an abundant number, since it is smaller than the sum of its proper divisors (276791739840).

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

76378800960 is a wasteful number, since it uses less digits than its factorization.

76378800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76378800960 in words is "seventy-six billion, three hundred seventy-eight million, eight hundred thousand, nine hundred sixty".