7770987000 has 768 divisors, whose sum is σ = 32520683520. Its totient is φ = 1634688000.

The previous prime is 7770986999. The next prime is 7770987013. The reversal of 7770987000 is 7890777.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44918914 + ... + 44919086.

It is an arithmetic number, because the mean of its divisors is an integer number (42344640).

Almost surely, 2^7770987000 is an apocalyptic number.

7770987000 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 7770987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260341760).

7770987000 is an abundant number, since it is smaller than the sum of its proper divisors (24749696520).

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

7770987000 is a wasteful number, since it uses less digits than its factorization.

7770987000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The square root of 7770987000 is about 88153.2018703802. The cubic root of 7770987000 is about 1980.7305232157.

The spelling of 7770987000 in words is "seven billion, seven hundred seventy million, nine hundred eighty-seven thousand".