78297332400 has 480 divisors, whose sum is σ = 328775782400. Its totient is φ = 17318707200.

The previous prime is 78297332341. The next prime is 78297332437. The reversal of 78297332400 is 423379287.

It is a super-2 number, since 2×78297332400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2326896 + ... + 2360304.

Almost surely, 2^78297332400 is an apocalyptic number.

78297332400 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 78297332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164387891200).

78297332400 is an abundant number, since it is smaller than the sum of its proper divisors (250478450000).

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

78297332400 is a wasteful number, since it uses less digits than its factorization.

78297332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33474 (or 33457 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 78297332400 in words is "seventy-eight billion, two hundred ninety-seven million, three hundred thirty-two thousand, four hundred".