97788902400 has 660 divisors, whose sum is σ = 413890921488. Its totient is φ = 22348431360.

The previous prime is 97788902377. The next prime is 97788902411. The reversal of 97788902400 is 420988779.

97788902400 is a `hidden beast` number, since 9 + 77 + 88 + 90 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14511832 + ... + 14518568.

Almost surely, 2^97788902400 is an apocalyptic number.

97788902400 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 97788902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206945460744).

97788902400 is an abundant number, since it is smaller than the sum of its proper divisors (316102019088).

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

97788902400 is a wasteful number, since it uses less digits than its factorization.

97788902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 97788902400 in words is "ninety-seven billion, seven hundred eighty-eight million, nine hundred two thousand, four hundred".