7786990400 has 672 divisors, whose sum is σ = 25277429760. Its totient is φ = 2299207680.

The previous prime is 7786990339. The next prime is 7786990417. The reversal of 7786990400 is 40996877.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181092779 + ... + 181092821.

Almost surely, 2^7786990400 is an apocalyptic number.

7786990400 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 7786990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638714880).

7786990400 is an abundant number, since it is smaller than the sum of its proper divisors (17490439360).

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

7786990400 is a wasteful number, since it uses less digits than its factorization.

7786990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 7786990400 is about 88243.9255699790. The cubic root of 7786990400 is about 1982.0892818924.

The spelling of 7786990400 in words is "seven billion, seven hundred eighty-six million, nine hundred ninety thousand, four hundred".