76218408000 has 784 divisors, whose sum is σ = 323605087104. Its totient is φ = 17412019200.

The previous prime is 76218407999. The next prime is 76218408029. The reversal of 76218408000 is 80481267.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40823067 + ... + 40824933.

Almost surely, 2^76218408000 is an apocalyptic number.

76218408000 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 76218408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161802543552).

76218408000 is an abundant number, since it is smaller than the sum of its proper divisors (247386679104).

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

76218408000 is an equidigital number, since it uses as much as digits as its factorization.

76218408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 76218408000 its reverse (80481267), we get a palindrome (76298889267).

The spelling of 76218408000 in words is "seventy-six billion, two hundred eighteen million, four hundred eight thousand".