76403712000 has 1792 divisors, whose sum is σ = 353306603520. Its totient is φ = 14155776000.

The previous prime is 76403711999. The next prime is 76403712043. The reversal of 76403712000 is 21730467.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4021247991 + ... + 4021248009.

Almost surely, 2^76403712000 is an apocalyptic number.

76403712000 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 76403712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176653301760).

76403712000 is an abundant number, since it is smaller than the sum of its proper divisors (276902891520).

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

76403712000 is a wasteful number, since it uses less digits than its factorization.

76403712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 76403712000 in words is "seventy-six billion, four hundred three million, seven hundred twelve thousand".