76427971200 has 1152 divisors, whose sum is σ = 340686528000. Its totient is φ = 16527421440.

The previous prime is 76427971199. The next prime is 76427971201. The reversal of 76427971200 is 217972467.

It is an interprime number because it is at equal distance from previous prime (76427971199) and next prime (76427971201).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (76427971201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103420431 + ... + 103421169.

Almost surely, 2^76427971200 is an apocalyptic number.

76427971200 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 76427971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170343264000).

76427971200 is an abundant number, since it is smaller than the sum of its proper divisors (264258556800).

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

76427971200 is a wasteful number, since it uses less digits than its factorization.

76427971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 76427971200 in words is "seventy-six billion, four hundred twenty-seven million, nine hundred seventy-one thousand, two hundred".