76826050560 has 640 divisors, whose sum is σ = 315159387840. Its totient is φ = 17539006464.

The previous prime is 76826050537. The next prime is 76826050583. The reversal of 76826050560 is 6505062867.

76826050560 is a `hidden beast` number, since 7 + 6 + 82 + 6 + 0 + 5 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (76826050537) and next prime (76826050583).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92896867 + ... + 92897693.

Almost surely, 2^76826050560 is an apocalyptic number.

76826050560 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 76826050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157579693920).

76826050560 is an abundant number, since it is smaller than the sum of its proper divisors (238333337280).

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

76826050560 is an frugal number, since it uses more digits than its factorization.

76826050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 76826050560 in words is "seventy-six billion, eight hundred twenty-six million, fifty thousand, five hundred sixty".