78762700800 has 936 divisors, whose sum is σ = 334322545440. Its totient is φ = 17340825600.

The previous prime is 78762700787. The next prime is 78762700843. The reversal of 78762700800 is 800726787.

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 71 ways as a sum of consecutive naturals, for example, 187084590 + ... + 187085010.

Almost surely, 2^78762700800 is an apocalyptic number.

78762700800 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 78762700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167161272720).

78762700800 is an abundant number, since it is smaller than the sum of its proper divisors (255559844640).

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

78762700800 is a wasteful number, since it uses less digits than its factorization.

78762700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 78762700800 in words is "seventy-eight billion, seven hundred sixty-two million, seven hundred thousand, eight hundred".