4077297000 has 896 divisors, whose sum is σ = 17678269440. Its totient is φ = 858470400.

The previous prime is 4077296999. The next prime is 4077297019. The reversal of 4077297000 is 7927704.

4077297000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 223 ways as a sum of consecutive naturals, for example, 86750977 + ... + 86751023.

Almost surely, 2^4077297000 is an apocalyptic number.

4077297000 is a gapful number since it is divisible by the number (40) 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 4077297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839134720).

4077297000 is an abundant number, since it is smaller than the sum of its proper divisors (13600972440).

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

4077297000 is a wasteful number, since it uses less digits than its factorization.

4077297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 4077297000 is about 63853.7156319035. The cubic root of 4077297000 is about 1597.5609974725.

The spelling of 4077297000 in words is "four billion, seventy-seven million, two hundred ninety-seven thousand".