100077864000 has 336 divisors, whose sum is σ = 348795173376. Its totient is φ = 25280640000.

The previous prime is 100077863993. The next prime is 100077864001. The reversal of 100077864000 is 468770001.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100077864001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8658225 + ... + 8669775.

Almost surely, 2^100077864000 is an apocalyptic number.

100077864000 is a gapful number since it is divisible by the number (10) 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 100077864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174397586688).

100077864000 is an abundant number, since it is smaller than the sum of its proper divisors (248717309376).

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

100077864000 is a wasteful number, since it uses less digits than its factorization.

100077864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11619 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 100077864000 in words is "one hundred billion, seventy-seven million, eight hundred sixty-four thousand".