20078377000 has 384 divisors, whose sum is σ = 56198862720. Its totient is φ = 6682368000.

The previous prime is 20078376973. The next prime is 20078377003. The reversal of 20078377000 is 77387002.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (20078377003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88450887 + ... + 88451113.

It is an arithmetic number, because the mean of its divisors is an integer number (146351205).

Almost surely, 2^20078377000 is an apocalyptic number.

20078377000 is a gapful number since it is divisible by the number (20) 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 20078377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28099431360).

20078377000 is an abundant number, since it is smaller than the sum of its proper divisors (36120485720).

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

20078377000 is a wasteful number, since it uses less digits than its factorization.

20078377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 20078377000 in words is "twenty billion, seventy-eight million, three hundred seventy-seven thousand".