76883463360 has 560 divisors, whose sum is σ = 305337618432. Its totient is φ = 18202060800.

The previous prime is 76883463341. The next prime is 76883463379. The reversal of 76883463360 is 6336438867.

76883463360 is a `hidden beast` number, since 76 + 8 + 83 + 463 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76883463341) and next prime (76883463379).

It is a super-2 number, since 2×76883463360² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 76883463297 and 76883463306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12257025 + ... + 12263295.

Almost surely, 2^76883463360 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 76883463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668809216).

76883463360 is an abundant number, since it is smaller than the sum of its proper divisors (228454155072).

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

76883463360 is a wasteful number, since it uses less digits than its factorization.

76883463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 76883463360 in words is "seventy-six billion, eight hundred eighty-three million, four hundred sixty-three thousand, three hundred sixty".