76527400320 has 960 divisors, whose sum is σ = 325183066560. Its totient is φ = 17093099520.

The previous prime is 76527400283. The next prime is 76527400337. The reversal of 76527400320 is 2300472567.

It is a happy number.

76527400320 is a `hidden beast` number, since 7 + 65 + 274 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×76527400320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 119387200 + ... + 119387840.

It is an arithmetic number, because the mean of its divisors is an integer number (338732361).

Almost surely, 2^76527400320 is an apocalyptic number.

76527400320 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 76527400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162591533280).

76527400320 is an abundant number, since it is smaller than the sum of its proper divisors (248655666240).

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

76527400320 is a wasteful number, since it uses less digits than its factorization.

76527400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 76527400320 its reverse (2300472567), we get a palindrome (78827872887).

The spelling of 76527400320 in words is "seventy-six billion, five hundred twenty-seven million, four hundred thousand, three hundred twenty".