76884063480 has 576 divisors, whose sum is σ = 305258803200. Its totient is φ = 16711349760.

The previous prime is 76884063479. The next prime is 76884063493. The reversal of 76884063480 is 8436048867.

76884063480 is a `hidden beast` number, since 7 + 68 + 8 + 40 + 63 + 480 = 666.

It is a super-2 number, since 2×76884063480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32262369 + ... + 32264751.

It is an arithmetic number, because the mean of its divisors is an integer number (529963200).

Almost surely, 2^76884063480 is an apocalyptic number.

76884063480 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 76884063480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152629401600).

76884063480 is an abundant number, since it is smaller than the sum of its proper divisors (228374739720).

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

76884063480 is a wasteful number, since it uses less digits than its factorization.

76884063480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 76884063480 in words is "seventy-six billion, eight hundred eighty-four million, sixty-three thousand, four hundred eighty".