390787516900 has 81 divisors (see below), whose sum is σ = 932273014953. Its totient is φ = 142079546400.

The previous prime is 390787516883. The next prime is 390787516901. The reversal of 390787516900 is 9615787093.

The square root of 390787516900 is 625130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 140683506084 + 250104010816 = 375078^2 + 500104^2 .

It is a super-2 number, since 2×390787516900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390787516901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68761459 + ... + 68767141.

Almost surely, 2^390787516900 is an apocalyptic number.

390787516900 is the 625130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390787516900

390787516900 is an abundant number, since it is smaller than the sum of its proper divisors (541485498053).

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

390787516900 is an equidigital number, since it uses as much as digits as its factorization.

390787516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 390787516900 in words is "three hundred ninety billion, seven hundred eighty-seven million, five hundred sixteen thousand, nine hundred".