76014771840 has 1024 divisors, whose sum is σ = 325721088000. Its totient is φ = 16379117568.

The previous prime is 76014771761. The next prime is 76014771857. The reversal of 76014771840 is 4817741067.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247604967 + ... + 247605273.

It is an arithmetic number, because the mean of its divisors is an integer number (318087000).

Almost surely, 2^76014771840 is an apocalyptic number.

76014771840 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 76014771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544000).

76014771840 is an abundant number, since it is smaller than the sum of its proper divisors (249706316160).

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

76014771840 is a wasteful number, since it uses less digits than its factorization.

76014771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 76014771840 in words is "seventy-six billion, fourteen million, seven hundred seventy-one thousand, eight hundred forty".