7077861000 has 896 divisors, whose sum is σ = 30282220800. Its totient is φ = 1511654400.

The previous prime is 7077860947. The next prime is 7077861013. The reversal of 7077861000 is 1687707.

It is a super-2 number, since 2×7077861000² (a number of 21 digits) contains 22 as substring.

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, 96956964 + ... + 96957036.

Almost surely, 2^7077861000 is an apocalyptic number.

7077861000 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 7077861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15141110400).

7077861000 is an abundant number, since it is smaller than the sum of its proper divisors (23204359800).

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

7077861000 is a wasteful number, since it uses less digits than its factorization.

7077861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 7077861000 is about 84130.0243670475. The cubic root of 7077861000 is about 1919.9975585906.

The spelling of 7077861000 in words is "seven billion, seventy-seven million, eight hundred sixty-one thousand".