76563467400 has 192 divisors, whose sum is σ = 271381380480. Its totient is φ = 17491968000.

The previous prime is 76563467399. The next prime is 76563467419. The reversal of 76563467400 is 476436567.

It is a self number, because there is not a number n which added to its sum of digits gives 76563467400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15945000 + ... + 15949800.

It is an arithmetic number, because the mean of its divisors is an integer number (1413444690).

Almost surely, 2^76563467400 is an apocalyptic number.

76563467400 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 76563467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135690690240).

76563467400 is an abundant number, since it is smaller than the sum of its proper divisors (194817913080).

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

76563467400 is a wasteful number, since it uses less digits than its factorization.

76563467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 76563467400 in words is "seventy-six billion, five hundred sixty-three million, four hundred sixty-seven thousand, four hundred".