9761198400 has 252 divisors, whose sum is σ = 35115898272. Its totient is φ = 2571310080.

The previous prime is 9761198399. The next prime is 9761198423. The reversal of 9761198400 is 48911679.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 1191117 + ... + 1199283.

Almost surely, 2^9761198400 is an apocalyptic number.

9761198400 is a gapful number since it is divisible by the number (90) 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 9761198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557949136).

9761198400 is an abundant number, since it is smaller than the sum of its proper divisors (25354699872).

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

9761198400 is a wasteful number, since it uses less digits than its factorization.

9761198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9761198400 is about 98798.7773203697. Note that the first 3 decimals coincide. The cubic root of 9761198400 is about 2137.1469243429.

The spelling of 9761198400 in words is "nine billion, seven hundred sixty-one million, one hundred ninety-eight thousand, four hundred".