70778400 has 288 divisors, whose sum is σ = 287981568. Its totient is φ = 14668800.

The previous prime is 70778399. The next prime is 70778413. The reversal of 70778400 is 487707.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184609 + ... + 184991.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^70778400 is an apocalyptic number.

70778400 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 70778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

70778400 is an abundant number, since it is smaller than the sum of its proper divisors (217203168).

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

70778400 is a wasteful number, since it uses less digits than its factorization.

70778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 70778400 is about 8412.9899560144. The cubic root of 70778400 is about 413.6505253995.

The spelling of 70778400 in words is "seventy million, seven hundred seventy-eight thousand, four hundred".