76560211840 has 256 divisors, whose sum is σ = 217819808640. Its totient is φ = 25185484800.

The previous prime is 76560211829. The next prime is 76560211859. The reversal of 76560211840 is 4811206567.

It is a super-2 number, since 2×76560211840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 76560211793 and 76560211802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11201064 + ... + 11207896.

Almost surely, 2^76560211840 is an apocalyptic number.

76560211840 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 76560211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108909904320).

76560211840 is an abundant number, since it is smaller than the sum of its proper divisors (141259596800).

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

76560211840 is a wasteful number, since it uses less digits than its factorization.

76560211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 76560211840 in words is "seventy-six billion, five hundred sixty million, two hundred eleven thousand, eight hundred forty".