7857000690 has 384 divisors, whose sum is σ = 24907405824. Its totient is φ = 1551052800.

The previous prime is 7857000661. The next prime is 7857000703. The reversal of 7857000690 is 960007587.

7857000690 is a nontrivial binomial coefficient, being equal to C(125356, 2).

It is a super-2 number, since 2×7857000690² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 57350302 + ... + 57350438.

It is an arithmetic number, because the mean of its divisors is an integer number (64863036).

Almost surely, 2^7857000690 is an apocalyptic number.

7857000690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7857000690 is the 125355-th triangular number and also the 62678-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7857000690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453702912).

7857000690 is an abundant number, since it is smaller than the sum of its proper divisors (17050405134).

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

7857000690 is a wasteful number, since it uses less digits than its factorization.

7857000690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 7857000690 is about 88639.7241083252. The cubic root of 7857000690 is about 1988.0116744386.

The spelling of 7857000690 in words is "seven billion, eight hundred fifty-seven million, six hundred ninety", and thus it is an aban number.